2x^2-32x^8=0

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Solution for 2x^2-32x^8=0 equation: 


Simplifying
2x2 + -32x8 = 0

Solving
2x2 + -32x8 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(1 + -16x6) = 0

Factor a difference between two squares.
2x2((1 + 4x3)(1 + -4x3)) = 0

Ignore the factor 2.

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 '(1 + 4x3)' equal to zero and attempt to solve:

Simplifying
1 + 4x3 = 0

Solving
1 + 4x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x3 = 0 + -1
4x3 = 0 + -1

Combine like terms: 0 + -1 = -1
4x3 = -1

Divide each side by '4'.
x3 = -0.25

Simplifying
x3 = -0.25

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(1 + -4x3)' equal to zero and attempt to solve:

Simplifying
1 + -4x3 = 0

Solving
1 + -4x3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x3 = 0 + -1
-4x3 = 0 + -1

Combine like terms: 0 + -1 = -1
-4x3 = -1

Divide each side by '-4'.
x3 = 0.25

Simplifying
x3 = 0.25

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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