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Simplifying 10c3 = 250c Solving 10c3 = 250c Solving for variable 'c'. Reorder the terms: -250c + 10c3 = 250c + -250c Combine like terms: 250c + -250c = 0 -250c + 10c3 = 0 Factor out the Greatest Common Factor (GCF), '10c'. 10c(-25 + c2) = 0 Factor a difference between two squares. 10c((5 + c)(-5 + c)) = 0 Ignore the factor 10.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 = 0Subproblem 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 = -5Subproblem 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 = 5Solution
c = {0, -5, 5}
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