SOLUTION: kindly solve this quadratic equation using factoring method x(3x+2) = (x+2)^2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: kindly solve this quadratic equation using factoring method x(3x+2) = (x+2)^2      Log On


   

Question 119085: kindly solve this quadratic equation using factoring method
x(3x+2) = (x+2)^2
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let's simplify this first
x%283x%2B2%29+=++%28x%2B2%29%5E2
3x%5E2%2B2x=x%5E2%2B4x%2B4
%283x%5E2-x%5E2%29%2B%282x-4x%29-4=0
2x%5E2-2x-4=0
Divide both sides by 2
x%5E2-x%2B2=0
We should find factors x+a and x+b such that:
ab=2
a+b=-1

Searching,
x%5E2-x%2B2=%28x%2B1%29%28x-2%29=0
%28x%2B1%29%28x-2%29=0
x%2B1=0 or x-2=0
x=-1 or x=2

Power up,
HyperBrain!