15x^4a^2+20x^2a^3=0

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Solution for 15x^4a^2+20x^2a^3=0 equation: 


Simplifying
15x4a2 + 20x2a3 = 0

Solving
15a2x4 + 20a3x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2x2'.
5a2x2(3x2 + 4a) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'a2x2' equal to zero and attempt to solve:

Simplifying
a2x2 = 0

Solving
a2x2 = 0

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

Simplifying
a2x2 = 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 '(3x2 + 4a)' equal to zero and attempt to solve:

Simplifying
3x2 + 4a = 0

Reorder the terms:
4a + 3x2 = 0

Solving
4a + 3x2 = 0

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

Add '-3x2' to each side of the equation.
4a + 3x2 + -3x2 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
4a + 0 = 0 + -3x2
4a = 0 + -3x2
Remove the zero:
4a = -3x2

Divide each side by '4'.
a = -0.75x2

Simplifying
a = -0.75x2
Solution
a = {-0.75x2}

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