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Simplifying (-3c + 12)(-3c + 12) = 0 Reorder the terms: (12 + -3c)(-3c + 12) = 0 Reorder the terms: (12 + -3c)(12 + -3c) = 0 Multiply (12 + -3c) * (12 + -3c) (12(12 + -3c) + -3c * (12 + -3c)) = 0 ((12 * 12 + -3c * 12) + -3c * (12 + -3c)) = 0 ((144 + -36c) + -3c * (12 + -3c)) = 0 (144 + -36c + (12 * -3c + -3c * -3c)) = 0 (144 + -36c + (-36c + 9c2)) = 0 Combine like terms: -36c + -36c = -72c (144 + -72c + 9c2) = 0 Solving 144 + -72c + 9c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '9'. 9(16 + -8c + c2) = 0 Factor a trinomial. 9((4 + -1c)(4 + -1c)) = 0 Ignore the factor 9.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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