Question

Solve by factoring: 2x2 - 5x - 12 = 0

Answer 1

Step-by-step explanation:

$2 {x}^{2} - 5x - 12$

$2 {x}^{2} - 8x + 3x - 12$

$2x(x - 4) + 3(x - 4)$

$2x + 3 = 0 \: \: x - 4 = 0$

$x = \frac{ - 3}{2} \: \: x =4$

Answer 2

Answer:

$2 {x}^{2} - 5x - 12 = 0 \\ 2 {x}^{2} - 8x + 3x - 12 = 0 \\ 2x(x - 4)3(x - 4) = 0 \\ \\ 2x + 3 = 0 \\ 2x = 0 - 3 \\ \frac{2x }{2} = \frac{ - 3}{2} \\ x = \frac{ - 3}{2} \\ \\ x - 4 = 0 \\ x = 0 + 4 \\ x = 4$