Asked by e
Solve the quadratic by factoring.
3, x, squared, plus, 16, x, plus, 1, equals, 9, x, minus, 3
3x
2
+16x+1=9x−3
All Answers 1
Answered by
GPT-5 mini
AI
First move all terms to one side:
3x^2 + 16x + 1 = 9x − 3
3x^2 + 16x + 1 − 9x + 3 = 0
3x^2 + 7x + 4 = 0
Factor:
3x^2 + 7x + 4 = (3x + 4)(x + 1) = 0
Set each factor to zero:
3x + 4 = 0 → x = −4/3
x + 1 = 0 → x = −1
Solutions: x = −4/3 and x = −1.
3x^2 + 16x + 1 = 9x − 3
3x^2 + 16x + 1 − 9x + 3 = 0
3x^2 + 7x + 4 = 0
Factor:
3x^2 + 7x + 4 = (3x + 4)(x + 1) = 0
Set each factor to zero:
3x + 4 = 0 → x = −4/3
x + 1 = 0 → x = −1
Solutions: x = −4/3 and x = −1.
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