4a^2b^3+10ab^5=0

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Solution for 4a^2b^3+10ab^5=0 equation: 


Simplifying
4a2b3 + 10ab5 = 0

Reorder the terms:
10ab5 + 4a2b3 = 0

Solving
10ab5 + 4a2b3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab3'.
2ab3(5b2 + 2a) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'ab3' equal to zero and attempt to solve:

Simplifying
ab3 = 0

Solving
ab3 = 0

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

Simplifying
ab3 = 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 '(5b2 + 2a)' equal to zero and attempt to solve:

Simplifying
5b2 + 2a = 0

Reorder the terms:
2a + 5b2 = 0

Solving
2a + 5b2 = 0

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

Add '-5b2' to each side of the equation.
2a + 5b2 + -5b2 = 0 + -5b2

Combine like terms: 5b2 + -5b2 = 0
2a + 0 = 0 + -5b2
2a = 0 + -5b2
Remove the zero:
2a = -5b2

Divide each side by '2'.
a = -2.5b2

Simplifying
a = -2.5b2
Solution
a = {-2.5b2}

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