c^8-15625c^2=0

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Solution for c^8-15625c^2=0 equation: 


Simplifying
c8 + -15625c2 = 0

Reorder the terms:
-15625c2 + c8 = 0

Solving
-15625c2 + c8 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), 'c2'.
c2(-15625 + c6) = 0

Factor a difference between two squares.
c2((125 + c3)(-125 + c3)) = 0


Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve:

Simplifying
c2 = 0

Solving
c2 = 0

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

Simplifying
c2 = 0

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

Subproblem 2
Set the factor '(125 + c3)' equal to zero and attempt to solve:

Simplifying
125 + c3 = 0

Solving
125 + c3 = 0

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

Add '-125' to each side of the equation.
125 + -125 + c3 = 0 + -125

Combine like terms: 125 + -125 = 0
0 + c3 = 0 + -125
c3 = 0 + -125

Combine like terms: 0 + -125 = -125
c3 = -125

Simplifying
c3 = -125

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 '(-125 + c3)' equal to zero and attempt to solve:

Simplifying
-125 + c3 = 0

Solving
-125 + c3 = 0

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

Add '125' to each side of the equation.
-125 + 125 + c3 = 0 + 125

Combine like terms: -125 + 125 = 0
0 + c3 = 0 + 125
c3 = 0 + 125

Combine like terms: 0 + 125 = 125
c3 = 125

Simplifying
c3 = 125

The solution to this equation could not be determined.

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

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