9a^4x-a^2x^3=

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Solution for 9a^4x-a^2x^3= equation: 


Simplifying
9a4x + -1a2x3 = 0

Reorder the terms:
-1a2x3 + 9a4x = 0

Solving
-1a2x3 + 9a4x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2x'.
a2x(-1x2 + 9a2) = 0

Factor a difference between two squares.
a2x((x + 3a)(-1x + 3a)) = 0


Subproblem 1
Set the factor 'a2x' equal to zero and attempt to solve:

Simplifying
a2x = 0

Solving
a2x = 0

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

Simplifying
a2x = 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 + 3a)' equal to zero and attempt to solve:

Simplifying
x + 3a = 0

Reorder the terms:
3a + x = 0

Solving
3a + x = 0

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

Add '-1x' to each side of the equation.
3a + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
3a + 0 = 0 + -1x
3a = 0 + -1x
Remove the zero:
3a = -1x

Divide each side by '3'.
a = -0.3333333333x

Simplifying
a = -0.3333333333x

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

Simplifying
-1x + 3a = 0

Reorder the terms:
3a + -1x = 0

Solving
3a + -1x = 0

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

Add 'x' to each side of the equation.
3a + -1x + x = 0 + x

Combine like terms: -1x + x = 0
3a + 0 = 0 + x
3a = 0 + x
Remove the zero:
3a = x

Divide each side by '3'.
a = 0.3333333333x

Simplifying
a = 0.3333333333x
Solution
a = {-0.3333333333x, 0.3333333333x}

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