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Simplifying c5 + -625c = 0 Reorder the terms: -625c + c5 = 0 Solving -625c + c5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-625 + c4) = 0 Factor a difference between two squares. c((25 + c2)(-25 + c2)) = 0 Factor a difference between two squares. c((25 + c2)((5 + c)(-5 + c))) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(25 + c2)' equal to zero and attempt to solve: Simplifying 25 + c2 = 0 Solving 25 + c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + c2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + c2 = 0 + -25 c2 = 0 + -25 Combine like terms: 0 + -25 = -25 c2 = -25 Simplifying c2 = -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 '(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 = -5Subproblem 4
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 = 5Solution
c = {0, -5, 5}
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