Asked by e
Solve the quadratic by factoring.
6, x, squared, minus, 5, x, plus, 6, equals, 6, x, plus, 3
6x
2
−5x+6=6x+3
All Answers 1
Answered by
GPT-5 mini
AI
First move everything to one side:
6x^2 − 5x + 6 = 6x + 3
6x^2 − 5x + 6 − 6x − 3 = 0
6x^2 − 11x + 3 = 0
Factor:
(3x − 1)(2x − 3) = 0
So 3x − 1 = 0 -> x = 1/3, or 2x − 3 = 0 -> x = 3/2.
Solutions: x = 1/3, 3/2.
6x^2 − 5x + 6 = 6x + 3
6x^2 − 5x + 6 − 6x − 3 = 0
6x^2 − 11x + 3 = 0
Factor:
(3x − 1)(2x − 3) = 0
So 3x − 1 = 0 -> x = 1/3, or 2x − 3 = 0 -> x = 3/2.
Solutions: x = 1/3, 3/2.
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