3x^2+2x=5
x=?
3x^2+2x=5
x=?
3x^{2} + 2x = 5 Given
3x^{2} + 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}