(3x − 1)(x + 4) = −4
$3x^2 - x + 12x - 4 + 4 = 0$
$3x^2 + 11x = 0$
x(3x + 11) = 0
x = 0
или
3x + 11 = 0
3x = −11
$x = -\frac{11}{3} = -3\frac{2}{3}$
Ответ: $x = -3\frac{2}{3}$ или x = 0

$(2x - 1)^2 - 6(6 - x) = 2x$
$4x^2 - 4x + 1 - 36 + 6x - 2x = 0$
$4x^2 - 35 = 0$
$4x^2 = 35$
$x^2 = \frac{35}{4}$
$x = \sqrt{\frac{35}{4}}$
$x = \frac{\sqrt{35}}{2}$
или
$x = -\frac{\sqrt{35}}{2}$
Ответ: $x = -\frac{\sqrt{35}}{2}$ и $x = \frac{\sqrt{35}}{2}$

$(x + 2)(x - 3) - (x - 5)(x + 5) = x^2 - x$
$x^2 + 2x - 3x - 6 - (x^2 - 25) - x^2 + x = 0$
$x^2 - x - 6 - x^2 + 25 - x^2 + x = 0$
$-x^2 + 19 = 0$
$-x^2 = -19$
$x^2 = 19$
$x = \sqrt{19}$
или
$x = -\sqrt{19}$
Ответ: $x = -\sqrt{19}$ и $x = \sqrt{19}$