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Simplifying c2 = 32 + -4c Solving c2 = 32 + -4c Solving for variable 'c'. Reorder the terms: -32 + 4c + c2 = 32 + -4c + -32 + 4c Reorder the terms: -32 + 4c + c2 = 32 + -32 + -4c + 4c Combine like terms: 32 + -32 = 0 -32 + 4c + c2 = 0 + -4c + 4c -32 + 4c + c2 = -4c + 4c Combine like terms: -4c + 4c = 0 -32 + 4c + c2 = 0 Factor a trinomial. (-8 + -1c)(4 + -1c) = 0Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-8, 4}
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