Needed help with this math question.

Question

3x^2+2x=5

x=?

Answer 1

3x² + 2x = 5                  Given

3x² + 2x - 5 = 0             Subtract 5 from each side

(3x + 5)(x - 1) = 0         Factor the left side of the equation

3x + 5 = 0    x - 1 = 0    Set each factor equal to 0

3x = -5         x = 1         Subtract 5 in the first equation, add 1 in the second

x = -5/3                        Divide by 3 in the first equation

x = {-5/3, 1}