3a^4+7a^2b^5=0

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Solution for 3a^4+7a^2b^5=0 equation: 


Simplifying
3a4 + 7a2b5 = 0

Reorder the terms:
7a2b5 + 3a4 = 0

Solving
7a2b5 + 3a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(7b5 + 3a2) = 0


Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:

Simplifying
a2 = 0

Solving
a2 = 0

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

Simplifying
a2 = 0

Take the square root of each side:
a = {0}

Subproblem 2
Set the factor '(7b5 + 3a2)' equal to zero and attempt to solve:

Simplifying
7b5 + 3a2 = 0

Reorder the terms:
3a2 + 7b5 = 0

Solving
3a2 + 7b5 = 0

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

Add '-7b5' to each side of the equation.
3a2 + 7b5 + -7b5 = 0 + -7b5

Combine like terms: 7b5 + -7b5 = 0
3a2 + 0 = 0 + -7b5
3a2 = 0 + -7b5
Remove the zero:
3a2 = -7b5

Divide each side by '3'.
a2 = -2.333333333b5

Simplifying
a2 = -2.333333333b5

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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