Question

2x square-x-3=0
Solve by factorisation

Answer 1

Answer:

2x² - x - 3 = 0

2x² + 2x - 3x - 3 = 0

2x(x + 1) - 3(x + 1) = 0

(2x - 3) (x + 1) = 0

2x - 3 = 0 or x + 1 = 0

x = 3/2 or x = - 1

WMK

Answer 2

Here is your answer mate:

$2x {}^{2} - x - 3 = 0 \\ by \: splitting \: middle \: term \\ 2x {}^{2} + 3x - 2x - 3 = 0 \\ x(2x + 3) - 1(2x + 3) = 0 \\ (x - 1)(2x + 3) \: \: \: \: \: answer$