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Simplifying c2 + -12c + 36 = 4 Reorder the terms: 36 + -12c + c2 = 4 Solving 36 + -12c + c2 = 4 Solving for variable 'c'. Reorder the terms: 36 + -4 + -12c + c2 = 4 + -4 Combine like terms: 36 + -4 = 32 32 + -12c + c2 = 4 + -4 Combine like terms: 4 + -4 = 0 32 + -12c + c2 = 0 Factor a trinomial. (4 + -1c)(8 + -1c) = 0Subproblem 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 '(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 = 8Solution
c = {4, 8}
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