8ab^4+20a^4=0

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Solution for 8ab^4+20a^4=0 equation: 


Simplifying
8ab4 + 20a4 = 0

Solving
8ab4 + 20a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4a'.
4a(2b4 + 5a3) = 0

Ignore the factor 4.

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 '(2b4 + 5a3)' equal to zero and attempt to solve:

Simplifying
2b4 + 5a3 = 0

Reorder the terms:
5a3 + 2b4 = 0

Solving
5a3 + 2b4 = 0

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

Add '-2b4' to each side of the equation.
5a3 + 2b4 + -2b4 = 0 + -2b4

Combine like terms: 2b4 + -2b4 = 0
5a3 + 0 = 0 + -2b4
5a3 = 0 + -2b4
Remove the zero:
5a3 = -2b4

Divide each side by '5'.
a3 = -0.4b4

Simplifying
a3 = -0.4b4

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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