a^2(a^2+2ab-3ab^2)=0

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Solution for a^2(a^2+2ab-3ab^2)=0 equation: 


Simplifying
a2(a2 + 2ab + -3ab2) = 0

Reorder the terms:
a2(2ab + -3ab2 + a2) = 0
(2ab * a2 + -3ab2 * a2 + a2 * a2) = 0
(2a3b + -3a3b2 + a4) = 0

Solving
2a3b + -3a3b2 + a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a3'.
a3(2b + -3b2 + a) = 0


Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve:

Simplifying
a3 = 0

Solving
a3 = 0

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

Simplifying
a3 = 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 '(2b + -3b2 + a)' equal to zero and attempt to solve:

Simplifying
2b + -3b2 + a = 0

Reorder the terms:
a + 2b + -3b2 = 0

Solving
a + 2b + -3b2 = 0

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

Add '-2b' to each side of the equation.
a + 2b + -2b + -3b2 = 0 + -2b

Combine like terms: 2b + -2b = 0
a + 0 + -3b2 = 0 + -2b
a + -3b2 = 0 + -2b
Remove the zero:
a + -3b2 = -2b

Add '3b2' to each side of the equation.
a + -3b2 + 3b2 = -2b + 3b2

Combine like terms: -3b2 + 3b2 = 0
a + 0 = -2b + 3b2
a = -2b + 3b2

Simplifying
a = -2b + 3b2
Solution
a = {-2b + 3b2}

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