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Simplifying 4c2 + 36c + -144 = 0 Reorder the terms: -144 + 36c + 4c2 = 0 Solving -144 + 36c + 4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4'. 4(-36 + 9c + c2) = 0 Factor a trinomial. 4((-12 + -1c)(3 + -1c)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12 + -1c)' equal to zero and attempt to solve: Simplifying -12 + -1c = 0 Solving -12 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1c = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1c = 0 + 12 -1c = 0 + 12 Combine like terms: 0 + 12 = 12 -1c = 12 Divide each side by '-1'. c = -12 Simplifying c = -12Subproblem 2
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 = 3Solution
c = {-12, 3}
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