Question

Solve for x :
6x2 + 11x + 3 = 0​

Answer 1

Answer:

$6 {x}^{2} + 11x + 3 = 0 \\ 6 {x}^{2} + (9 + 2)x + 3 = 0 \\ 6 {x}^{2} + 9x + 2x + 3 = 0 \\ 3x(2x + 3) + 1(2x + 3) = 0 \\ (3x + 1)(2x + 3) = 0 \\ (3x + 1) = 0 \\ 3x = - 1 \\ x = \frac{ - 1}{3} \\ (2x + 3) = 0 \\ 2x = - 3 \\ x = \frac{ - 3}{2}$