Question

Решите уравнение 3х(х-2)-х(х+3)=-2(х-4)-4

Answer 1

$3x(x - 2) - x(x + 3) = - 2(x - 4) - 4 \\ 3 {x}^{2} - 6x - {x}^{2} - 3x = - 2x + 8 - 4 \\ 2 {x}^{2} - 9x = - 2x + 4 \\ 2 {x}^{2} - 9x + 2x - 4 = 0 \\ 2 {x}^{2} - 7x - 4 = 0 \\ d = 49 + 32 = 81 \\ x = \frac{7 + 9}{4} = \frac{16}{4} = 4 \\ x = \frac{7 - 9}{4} = \frac{ - 2}{4} = - 0.5$