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Simplifying 2c2 = 16c + -32 Reorder the terms: 2c2 = -32 + 16c Solving 2c2 = -32 + 16c Solving for variable 'c'. Reorder the terms: 32 + -16c + 2c2 = -32 + 16c + 32 + -16c Reorder the terms: 32 + -16c + 2c2 = -32 + 32 + 16c + -16c Combine like terms: -32 + 32 = 0 32 + -16c + 2c2 = 0 + 16c + -16c 32 + -16c + 2c2 = 16c + -16c Combine like terms: 16c + -16c = 0 32 + -16c + 2c2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(16 + -8c + c2) = 0 Factor a trinomial. 2((4 + -1c)(4 + -1c)) = 0 Ignore the factor 2.Subproblem 1
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 = 4Subproblem 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 = {4, 4}
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