$x^3 - 36x = 0$
$x(x^2 - 36) = 0$
x(x − 6)(x + 6) = 0
x = 0
или
x − 6 = 0
x = 6
или
x + 6 = 0
x = −6
Ответ: −6; 0; 6.

$12x^5 - 3x^3 = 0$
$3x^3(4x^2 - 1) = 0$
$3x^3(2x - 1)(2x + 1) = 0$
$3x^3 = 0$
$x^3 = 0$
x = 0
или
2x − 1 = 0
2x = 1
x = 0,5
или
2x + 1 = 0
2x = −1
x = −0,5
Ответ: −0,5; 0; 0,5.

$49x^3 - x = 0$
$x(49x^2 - 1) = 0$
$x(7x - 1)(7x + 1) = 0$
x = 0
или
7x − 1 = 0
7x = 1
$x = \frac{1}{7}$
или
7x + 1 = 0
7x = −1
$x = -\frac{1}{7}$
Ответ: $-\frac{1}{7}; 0; \frac{1}{7}.$

$2x^4 - 32x^2 = 0$
$2x^2(x^2 - 16) = 0$
$2x^2(x - 4)(x + 4) = 0$
$2x^2 = 0$
$x^2 = 0$
x = 0
или
x − 4 = 0
x = 4
или
x + 4 = 0
x = −4
Ответ: −4; 0; 4.