x^2+8ax-9a^2=

Solution for x^2+8ax-9a^2= equation:

Simplifying
x2 + 8ax + -9a2 = 0

Reorder the terms:
8ax + -9a2 + x2 = 0

Solving
8ax + -9a2 + x2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9a + -1x)(a + -1x) = 0

Subproblem 1
Set the factor '(-9a + -1x)' equal to zero and attempt to solve:

Simplifying
-9a + -1x = 0

Solving
-9a + -1x = 0

Move all terms containing a to the left, all other terms to the right.

Add 'x' to each side of the equation.
-9a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-9a + 0 = 0 + x
-9a = 0 + x
Remove the zero:
-9a = x

Divide each side by '-9'.
a = -0.1111111111x

Simplifying
a = -0.1111111111x
Subproblem 2
Set the factor '(a + -1x)' equal to zero and attempt to solve:

Simplifying
a + -1x = 0

Solving
a + -1x = 0

Move all terms containing a to the left, all other terms to the right.

Add 'x' to each side of the equation.
a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
a + 0 = 0 + x
a = 0 + x
Remove the zero:
a = x

Simplifying
a = x
Solution
a = {-0.1111111111x, x}