Linkerkolom:

$x^{2} + 10 x = ‐ 16$	PLUS 16
$x^{2} + 10 x + 16 = 0$	ONTBINDEN
$(x + 2) (x + 8) = 0$
$x = ‐ 2$ of $x = ‐ 8$

$10 x = x^{2}$	MIN $x^{2}$
$10 x - x^{2} = 0$	ONTBINDEN
$x (10 - x) = 0$
$x = 0$ of $x = 10$

$x^{2} + 6 x = 16$	MIN 16
$x^{2} + 6 x - 16 = 0$	ONTBINDEN
$(x + 8) (x - 2) = 0$
$x = ‐ 8$ of $x = 2$

$x^{2} + 16 = 8 x$	MIN $8 x$
$x^{2} - 8 x + 16 = 0$	ONTBINDEN
${(x - 4)}^{2} = 0$
$x = 4$

$2 x^{2} = 10 x$	MIN $10 x$
$2 x^{2} - 10 x = 0$	DELEN DOOR 2
$x^{2} - 5 x = 0$	ONTBINDEN
$x (x - 5) = 0$
$x = 0$ of $x = 5$

Rechterkolom:

$x^{2} - 5 x = 6$	MIN 6
$x^{2} - 5 x - 6 = 0$	ONTBINDEN
$(x - 6) (x + 1) = 0$
$x = 6$ of $x = ‐ 1$

$x^{3} + 9 x^{2} = 0$	ONTBINDEN
$x^{2} (x + 9) = 0$
$x = 0$ of $x = ‐ 9$

$12 - 11 x = x^{2}$	PLUS $11 x$ , MIN 12
$x^{2} + 11 x - 12 = 0$	ONTBINDEN
$(x + 12) (x - 1) = 0$
$x = ‐ 12$ of $x = 1$

$3 x^{2} = 6 x - 3$	MIN $6 x$ , PLUS 3
$3 x^{2} - 6 x + 3 = 0$	DELEN DOOR 3
$x^{2} - 2 x + 1 = 0$	ONTBINDEN
$(x - 1) (x - 1) = 0$
$x = 1$

$3 - 4 x = 1 - 2 x^{2}$	PLUS $2 x^{2}$ , MIN 1
$2 x^{2} - 4 x + 2 = 0$	DELEN DOOR 2
$x^{2} - 2 x + 1 = 0$	ONTBINDEN
$(x - 1) (x - 1) = 0$
$x = 1$

Linkerkolom:

$3 (x + 1) = x^{2} + 5$	HAAKJES WEG
$3 x + 3 = x^{2} + 5$	MIN $3 x$ , MIN 3
$x^{2} - 3 x + 2 = 0$	ONTBINDEN
$(x - 2) (x - 1) = 0$
$x = 2$ of $x = 1$

$(x + 1) (x + 3) = 1 - x^{2}$	HAAKJES WEG
$x^{2} + 4 x + 3 = 1 - x^{2}$	PLUS $x^{2}$ , MIN 1
$2 x^{2} + 4 x + 2 = 0$	DELEN DOOR 2
$x^{2} + 2 x + 1 = 0$	ONTBINDEN
$(x + 1) (x + 1) = 0$
$x = ‐ 1$

$3 {(x + 1)}^{2} = x^{2} + 3$	HAAKJES WEG
$3 x^{2} + 6 x + 3 = x^{2} + 3$	MIN $x^{2}$ , MIN 3
$2 x^{2} + 6 x = 0$	DELEN DOOR 2
$x^{2} + 3 x = 0$	ONTBINDEN
$x (x + 3) = 0$
$x = 0$ of $x = ‐ 3$

Rechterkolom:

$x (x^{2} - 2) = x^{2} (x + 2)$	HAAKJES WEG
$x^{3} - 2 x = x^{3} + 2 x^{2}$	MIN $x^{3}$ , PLUS $2 x$
$2 x^{2} + 2 x = 0$	DELEN DOOR 2
$x^{2} + x = 0$	ONTBINDEN
$x (x + 1) = 0$
$x = 0$ of $x = ‐ 1$

$2 (x^{2} - 2) = 4 (x^{2} - 3)$	HAAKJES WEG
$2 x^{2} - 4 = 4 x^{2} - 12$	MIN $2 x^{2}$ , PLUS 4
$2 x^{2} - 8 = 0$	DELEN DOOR 2
$x^{2} - 4 = 0$	ONTBINDEN
$(x - 2) (x + 2) = 0$
$x = 2$ of $x = ‐ 2$

${(x^{2} + 2)}^{2} = {(x^{2} - 4)}^{2}$	HAAKJES WEG
$x^{4} + 4 x^{2} + 4 = x^{4} - 8 x^{2} + 16$	MIN $x^{4}$ , PLUS $8 x^{2}$ , MIN 4
$12 x^{2} = 12$	DELEN DOOR 12
$x^{2} = 1$
$x = 1$ of $x = ‐ 1$

$5 x^{4} = 80$	$12 - 4 x = x^{2}$
$x^{4} = 16$	$x^{2} + 4 x - 12 = 0$
$x = 2$ of $x = ‐ 2$	$(x + 6) (x - 2) = 0$
	$x = ‐ 6$ of $x = 2$

$5 x^{4} = 80 x^{2}$	$12 - 2 x = 2 x^{2}$
$5 x^{4} - 80 x^{2} = 0$	$2 x^{2} + 2 x - 12 = 0$
$x^{4} - 16 x^{2} = 0$	$x^{2} + x - 6 = 0$
$x^{2} (x^{2} - 16) = 0$	$(x + 3) (x - 2) = 0$
$x = 0$ of $x = 4$ of $x = ‐ 4$	$x = ‐ 3$ of $x = 2$

$5 x^{4} = 80 x^{3}$	$12 - 9 x = 3 x^{2}$
$5 x^{4} - 80 x^{3} = 0$	$3 x^{2} + 9 x - 12 = 0$
$x^{4} - 16 x^{3} = 0$	$x^{2} + 3 x - 4 = 0$
$x^{3} (x - 16) = 0$	$(x + 4) (x - 1) = 0$
$x = 0$ of $x = 16$	$x = ‐ 4$ of $x = 1$

$x^{2} - 10 x + 9 = 0$	${(3 + x)}^{2} = 49$
$(x - 9) (x - 1) = 0$	$3 + x = 7$ of $3 + x = - 7$
$x = 9$ of $x = 1$	$x = 4$ of $x = ‐ 10$

$x^{2} (x^{2} - 10 x + 9) = 0$	géén oplossingen
$x^{2} (x - 9) (x - 1) = 0$
$x = 0$ of $x = 9$ of $x = 1$

$(x - 1) (x^{2} - 10 x + 9) = 0$	${(3 + x)}^{2} = 0$
$(x - 1) (x - 9) (x - 1) = 0$	$3 + x = 0$
$x = 1$ of $x = 9$	$x = ‐ 3$

$x + 2 = 64$	${(x + 2)}^{3} = 64$
$x = 62$	$x + 2 = 4$
	$x = 2$

${(x + 2)}^{2} = 64$	${(x + 2)}^{6} = 64$
$x + 2 = 8$ of $x + 2 = ‐ 8$	$x + 2 = 2$ of $x + 2 = ‐ 2$
$x = 6$ of $x = ‐ 10$	$x = 0$ of $x = ‐ 4$

$1^{3} + 2 \cdot 1^{2} - 13 \cdot 1 + 10 = 1 + 2 - 13 + 10 = 0$

$(x - 1) (x^{2} + 3 x - 10) =$
$x^{3} + 3 x^{2} - x^{2} - 10 x - 3 x + 10 =$
$x^{3} + 2 x^{2} - 13 x + 10$

$x^{3} + 3 x^{2} - 7 x + 15 = 0$
$(x + 5) (x^{2} + 2 x - 3) = 0$
$(x + 5) (x + 3) (x - 1) = 0$
$x = ‐ 5$ of $x = ‐ 3$ of $x = 1$

$x^{3} - x^{2} - 6 x = 0$
$(x - 3) (x^{2} + 2 x) = 0$
$(x - 3) (x + 2) x = 0$
$x = 3$ of $x = ‐ 2$ of $x = 0$

$(x - 1) (x + 2) = x^{2} + x - 2$
$x^{4} + 6 x^{3} + 7 x^{2} - 6 x - 8 = 0$
$(x^{2} + x - 2) (x^{2} + 5 x + 4) = 0$
$(x - 1) (x + 2) (x + 4) (x + 1) = 0$
$x = 1$ of $x = ‐ 2$ of $x = ‐ 4$ of $x = ‐ 1$