Question

6xsquare minus x minus 2 equal to zero

Answer 1

6x^2 - x -2 = 0
6x^2 -3x +2x -2 =0
3× 2 X×X - 3×X + 2 × X -2=0
-3 X ( -2x) + -1 (-2x) = 0
(-3x-1) + (-2x) =0
-3x-1=0. or -2x=0
-3x=0+1 or X= 0/-2
X = 1/-3 or X =0

Answer 2

$6 {x}^{2} - x - 2 = 0 \\ = > 6 {x }^{2} - 4x + 3x - 2 = 0 \\ = > 2x(3x - 2) + 1(3x - 2) = 0 \\ = > (3x - 2)(2x + 1) = 0 \\ as \: two \: products \: cannot \: be \: zero \\ so \: one \: of \: them \: must \: be \: zero \\ now \: \\ 3x - 2 = 0 \\ = > x = \frac{2}{3} \\ and \\ 2x + 1 = 0 \\ = > x = - \frac{1}{2}$