Question

Solve: $2x^2 - 9x = -4$

Answer 1

$2x^2 -9x = -4$
$=2x^2 -9x +4 = 0$
$=2x^2 - (8+1)x + 4 = 0$
$=2x^2 - 8x -x +4 =0$
$=2x(x-4) - 1 (x-4) = 0$
$=(x-4)(2x-1)$

so, x = 4 and 1/2