4x^4+64x^2=0

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Solution for 4x^4+64x^2=0 equation: 


Simplifying
4x4 + 64x2 = 0

Reorder the terms:
64x2 + 4x4 = 0

Solving
64x2 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2'.
4x2(16 + x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

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

Subproblem 2
Set the factor '(16 + x2)' equal to zero and attempt to solve:

Simplifying
16 + x2 = 0

Solving
16 + x2 = 0

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

Add '-16' to each side of the equation.
16 + -16 + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + x2 = 0 + -16
x2 = 0 + -16

Combine like terms: 0 + -16 = -16
x2 = -16

Simplifying
x2 = -16

The solution to this equation could not be determined.

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

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