$2x^2 + 3x = 0$
x(2x + 3) = 0
x = 0 или 2x + 3 = 0
2x = −3
x = −1,5
Ответ:
$x_1 = 0$;
$x_2 = -1,5$.

$3x^2 - 2 = 0$
$3x^2 = 2$
$x^2 = \frac{2}{3}$
$x = ±\sqrt{\frac{2}{3}}$

$5u^2 - 4u = 0$
u(5u − 4) = 0
u = 0 или 5u − 4 = 0
5u = 4
u = 0,8
Ответ:
$u_1 = 0$;
$u_2 = 0,8$.

$7a - 14a^2 = 0$
a(7 − 14a) = 0
a = 0 или 7 − 14a = 0
−14a = −7
a = 0,5
Ответ:
$a_1 = 0$;
$a_2 = 0,5$.

$1 - 4y^2 = 0$
$-4y^2 = -1$
$y^2 = 0,25$
$y = ±\sqrt{0,25}$
y = ±0,5

$2x^2 - 6 = 0$
$2x^2 = 6$
$x^2 = 3$
$x = ±\sqrt{3}$