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(3x-1)^(2) + 12x-4=0

Can someone help me solve this. I am stuck at
3(3x^(2) + 2x-1)

User Iferminm
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1 Answer

4 votes
Your answer is x = 1/3 or x = -1
To solve I would start by expanding the bracket and then collecting like-terms, and then re-factoring:
(3x - 1)² + 12x - 4 = 0
9x² - 6x + 1 + 12x - 4 = 0
9x² + 6x - 3 = 0
3(3x² + 2x - 1) = 0
From here you can factorise the bracket even further:
3(3x - 1)(x + 1) = 0
Then divide by 3:
(3x - 1)(x + 1) = 0
3x - 1 = 0
x = 1/3

x + 1 = 0
x = -1
I hope this helps! Let me know if you have any questions :)
User Sherrin
by
8.7k points

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