Question

Solve the quadratic by factoring.
6, x, squared, minus, 5, x, plus, 6, equals, 6, x, plus, 3
6x
2
−5x+6=6x+3
Answer

Additional Solution
No Solution

Answer 1

First move everything to one side:
6x^2 − 5x + 6 = 6x + 3
6x^2 − 11x + 3 = 0

Factor:
6x^2 − 11x + 3 = (2x − 3)(3x − 1)

Set each factor to zero:
2x − 3 = 0 → x = 3/2
3x − 1 = 0 → x = 1/3

Answer: x = 3/2 or x = 1/3.