SOLUTION: Please help me solve this quadratic: 4(x+9)^2=24 What I've tried doing: 4(x+9)^2=24 4x+36^2=24 4x+1296=24 4x+1272=0 I am not sure what to do from here. I have also decid

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Please help me solve this quadratic: 4(x+9)^2=24 What I've tried doing: 4(x+9)^2=24 4x+36^2=24 4x+1296=24 4x+1272=0 I am not sure what to do from here. I have also decid      Log On


   

Question 729189: Please help me solve this quadratic: 4(x+9)^2=24
What I've tried doing:
4(x+9)^2=24
4x+36^2=24
4x+1296=24
4x+1272=0
I am not sure what to do from here.
I have also decided that it cannot be factored evenly.
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
4%28x%2B9%29%5E2=24+ divide both sides by 4
%28x%2B9%29%5E2=6
x%5E2%2B18x%2B81=6 subract 6 from each side of the equal side
x%5E2%2B18x%2B75=0
now you can use the quadratic formula to solve for x
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
x+=+%28-18+%2B-+sqrt%28+18%5E2-4%2A1%2A75+%29%29%2F%282%2A1%29+
x+=+%28-18+%2B-+sqrt%28+324-300+%29%29%2F%282%29+
x+=+%28-18+%2B-+sqrt%28+24+%29%29%2F%282%29+ simplify sqrt(24)
x+=+%28-18+%2B-+2sqrt%28+6+%29%29%2F%282%29+ divide everything by 2
x+=+%28-9+%2B-+sqrt%28+6+%29%29+