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Simplifying -3c2 + -12c + 63 = 0 Reorder the terms: 63 + -12c + -3c2 = 0 Solving 63 + -12c + -3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(21 + -4c + -1c2) = 0 Factor a trinomial. 3((3 + -1c)(7 + c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Subproblem 2
Set the factor '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Solution
c = {3, -7}
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