a^3x+a^2x^2=0

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Solution for a^3x+a^2x^2=0 equation: 


Simplifying
a3x + a2x2 = 0

Reorder the terms:
a2x2 + a3x = 0

Solving
a2x2 + a3x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2x'.
a2x(x + a) = 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 + 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
Solution
a = {-1x}

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