Question

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

Answer 1

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 = ( - 3)/(2) \: \: x =4`

Answer 2

`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 \\ (2x )/(2) = ( - 3)/(2) \\ x = ( - 3)/(2) \\ \\ x - 4 = 0 \\ x = 0 + 4 \\ x = 4`