SOLUTION: Solve the equation for the indicated variable: A = 6x^2 + 12xh; solve for x The answer I come up with via the quadratic formula is x = -h +/- 2h(sqrt)6A Apparently I am mi

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the equation for the indicated variable: A = 6x^2 + 12xh; solve for x The answer I come up with via the quadratic formula is x = -h +/- 2h(sqrt)6A Apparently I am mi      Log On


   

Question 884292: Solve the equation for the indicated variable:
A = 6x^2 + 12xh; solve for x
The answer I come up with via the quadratic formula is x = -h +/- 2h(sqrt)6A
Apparently I am missing a key step as this answer is incorrect.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
A+=+6x%5E2+%2B+12xh
A=6%28x%5E2%2B%282h%29x%29
A=6%28x%5E2%2B%282h%29x%2Bh%5E2%29-6h%5E2
A=6%28x%2Bh%29%5E2-6h%5E2
6%28x%2Bh%29%5E2=A%2B6h%5E2
%28x%2Bh%29%5E2=A%2F6%2Bh%5E2
x%2Bh=0+%2B-+sqrt%28A%2F6%2B6h%5E2%29
x=-h+%2B-+sqrt%28A%2F6%2B6h%5E2%29