Question

Solve the quadratic by factoring.
5, x, squared, minus, 16, x, equals, minus, 2, x, plus, 3
5x
2
−16x=−2x+3

Answer 1

Start with the equation:
5x^2 − 16x = −2x + 3

Bring all terms to one side:
5x^2 −16x +2x −3 = 0
5x^2 −14x −3 = 0

Factor:
(5x + 1)(x − 3) = 0

Set each factor to zero:
5x + 1 = 0 → x = −1/5
x − 3 = 0 → x = 3

Solutions: x = 3 and x = −1/5.