SOLUTION: Solve for eacg equation by factoring. 4x^2=12x-9

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Question 133705: Solve for eacg equation by factoring.
4x^2=12x-9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4x%5E2=12x-9 Start with the given equation


0=12x-9-4x%5E2 Subtract 4x^2 from both sides.


0=-4x%5E2%2B12x-9 Rearrange the terms


0=-%282x-3%29%282x-3%29 Factor the right side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
2x-3=0 or 2x-3=0

x=3%2F2 or x=3%2F2 Now solve for x in each case


Since we have a repeating answer, our only answer is x=3%2F2