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

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Solve for eacg equation by factoring. 4x^2=12x-9      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 133705: Solve for eacg equation by factoring.
4x^2=12x-9
Answer by jim_thompson5910(28717) 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