Question

3x^2 + 7x = 6 NEED HELP SOLVING QUADRATIC EQUATION

Answer 1

Answer:

$x = \frac{2}{3} \: \: or \: \: x = - 3$

Step-by-step explanation:

$3 {x}^{2} + 7x = 6 \\ 3 {x}^{2} + 7x - 6 = 0 \\ 3 {x}^{2} + 9x - 2x - 6 = 0 \\ 3x(x + 3) - 2(x + 3) = 0 \\ (3x - 2)(x + 3) = 0 \\ \\ 3x - 2 = 0 \\ 3x = 2 \\ x = \frac{2}{3} \\ \\ x + 3 = 0 \\ x = - 3$