8c^3-200c=0

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Solution for 8c^3-200c=0 equation:


Simplifying
8c3 + -200c = 0

Reorder the terms:
-200c + 8c3 = 0

Solving
-200c + 8c3 = 0

Solving for variable 'c'.

Factor out the Greatest Common Factor (GCF), '8c'.
8c(-25 + c2) = 0

Factor a difference between two squares.
8c((5 + c)(-5 + c)) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0

Subproblem 2

Set the factor '(5 + c)' equal to zero and attempt to solve: Simplifying 5 + c = 0 Solving 5 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + c = 0 + -5 c = 0 + -5 Combine like terms: 0 + -5 = -5 c = -5 Simplifying c = -5

Subproblem 3

Set the factor '(-5 + c)' equal to zero and attempt to solve: Simplifying -5 + c = 0 Solving -5 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + c = 0 + 5 c = 0 + 5 Combine like terms: 0 + 5 = 5 c = 5 Simplifying c = 5

Solution

c = {0, -5, 5}

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