Question

Решите уравнение:

1.
$5x(3x - 2) + 2(x - 3) - 3x(4x + 4) = 3 {x}^{2} + 14$
2.
$\frac{5x - 4}{2} = \frac{16x + 1}{7}$

Answer 1

$1) \: \: 5x(3x - 2) + 2(x - 3) - 3x(4x + 4) = 3 {x}^{2} + 14 \\ 15 {x}^{2} - 10x + 2x - 6 - 12 {x}^{2} - 12x = 3 {x}^{2} +1 4 \\3 {x}^{2} - 20x - 6 = 3 {x}^{2} + 14 \\ 3 {x}^{2} - 3 {x}^{2} - 20x - 6 - 1 4 = 0 \\ - 20x - 20 = 0 \\ 20x = - 20 \\ x = - 1$
Ответ: -1.

$2) \: \: \frac{5x - 4}{2} = \frac{16x + 1}{7} \\ 7(5x - 4) = 2(16x + 1) \\ 35x - 28 = 32x + 2 \\ 35x - 32x = 2 + 28 \\ 3x = 30 \\ x = 10$
Ответ: 10.