10a^3+128ab^2=0

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Solution for 10a^3+128ab^2=0 equation: 


Simplifying
10a3 + 128ab2 = 0

Reorder the terms:
128ab2 + 10a3 = 0

Solving
128ab2 + 10a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(64b2 + 5a2) = 0

Ignore the factor 2.

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(64b2 + 5a2)' equal to zero and attempt to solve:

Simplifying
64b2 + 5a2 = 0

Reorder the terms:
5a2 + 64b2 = 0

Solving
5a2 + 64b2 = 0

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

Add '-64b2' to each side of the equation.
5a2 + 64b2 + -64b2 = 0 + -64b2

Combine like terms: 64b2 + -64b2 = 0
5a2 + 0 = 0 + -64b2
5a2 = 0 + -64b2
Remove the zero:
5a2 = -64b2

Divide each side by '5'.
a2 = -12.8b2

Simplifying
a2 = -12.8b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}

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