Question

(2).(×+1)=(3×+1).(×)​

Answer 1

Respuesta:

$x = - \frac{2}{3} \: \: or \: \: x = 1$

Explicación paso a paso:

$(2)(x + 1) = (3x + 1)(x) \\ 2x + 2 = {3x}^{2} + x \\ 2x + 2 - {3x}^{2} - x = 0 \\ - {3x}^{2} + x + 2 = 0 \\ {3x}^{2} - x - 2 = 0 \\ (3x + 2)(x - 1) = 0 \\ 3x + 2 = 0 \: \: \: x - 1 =0 \\ 3x = - 2 \: \: \: x = 1 \\ \\ x = - \frac{2}{3} \: \: or \: \: x = 1$