ax(x-a)(x+a)=

Solution for ax(x-a)(x+a)= equation:

Simplifying
ax(x + -1a)(x + a) = 0

Reorder the terms:
ax(-1a + x)(x + a) = 0

Reorder the terms:
ax(-1a + x)(a + x) = 0

Multiply (-1a + x) * (a + x)
ax(-1a * (a + x) + x(a + x)) = 0
ax((a * -1a + x * -1a) + x(a + x)) = 0

Reorder the terms:
ax((-1ax + -1a2) + x(a + x)) = 0
ax((-1ax + -1a2) + x(a + x)) = 0
ax(-1ax + -1a2 + (a * x + x * x)) = 0
ax(-1ax + -1a2 + (ax + x2)) = 0

Reorder the terms:
ax(-1ax + ax + -1a2 + x2) = 0

Combine like terms: -1ax + ax = 0
ax(0 + -1a2 + x2) = 0
ax(-1a2 + x2) = 0
(-1a2 * ax + x2 * ax) = 0

Reorder the terms:
(ax3 + -1a3x) = 0
(ax3 + -1a3x) = 0

Solving
ax3 + -1a3x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ax'.
ax(x2 + -1a2) = 0

Factor a difference between two squares.
ax((x + a)(x + -1a)) = 0

Subproblem 1
Set the factor 'ax' equal to zero and attempt to solve:

Simplifying
ax = 0

Solving
ax = 0

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

Simplifying
ax = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(x + a)' equal to zero and attempt to solve:

Simplifying
x + a = 0

Reorder the terms:
a + x = 0

Solving
a + x = 0

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

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

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

Simplifying
a = -1x
Subproblem 3
Set the factor '(x + -1a)' equal to zero and attempt to solve:

Simplifying
x + -1a = 0

Reorder the terms:
-1a + x = 0

Solving
-1a + x = 0

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

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

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

Divide each side by '-1'.
a = x

Simplifying
a = x
Solution
a = {-1x, x}