Question

Solve by factoring.
6x^2 - x - 12 = 0

Answer 1

x = 3/2 and -4/3

Explanation:

`\rm \implies 6 {x}^(2) - x - 12 = 0 \\ \\ \rm \implies 6 {x}^(2) - 9x + 8x - 12 = 0 \\ \\ \rm \implies 3x(2x - 3) + 4(2x - 3) = 0 \\ \\ \rm \implies (2x - 3)(3x + 4) = 0 \\ \\ \rm \implies 2x - 3 = 0 \: \: and \: \: 3x + 4 = 0 \\ \\ \rm \implies 2x = 3\: \: and \: \: 3x = - 4 \\ \\ \rm \implies x = (3)/(2) \: \: and \: \: x = - (4)/(3)`