8x^2(4x^2+4y^6)=0

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Solution for 8x^2(4x^2+4y^6)=0 equation: 


Simplifying
8x2(4x2 + 4y6) = 0
(4x2 * 8x2 + 4y6 * 8x2) = 0

Reorder the terms:
(32x2y6 + 32x4) = 0
(32x2y6 + 32x4) = 0

Solving
32x2y6 + 32x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '32x2'.
32x2(y6 + x2) = 0

Ignore the factor 32.

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 '(y6 + x2)' equal to zero and attempt to solve:

Simplifying
y6 + x2 = 0

Reorder the terms:
x2 + y6 = 0

Solving
x2 + y6 = 0

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

Add '-1y6' to each side of the equation.
x2 + y6 + -1y6 = 0 + -1y6

Combine like terms: y6 + -1y6 = 0
x2 + 0 = 0 + -1y6
x2 = 0 + -1y6
Remove the zero:
x2 = -1y6

Simplifying
x2 = -1y6

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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