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Simplifying 9c2 + 18c + -12 = 6c Reorder the terms: -12 + 18c + 9c2 = 6c Solving -12 + 18c + 9c2 = 6c Solving for variable 'c'. Reorder the terms: -12 + 18c + -6c + 9c2 = 6c + -6c Combine like terms: 18c + -6c = 12c -12 + 12c + 9c2 = 6c + -6c Combine like terms: 6c + -6c = 0 -12 + 12c + 9c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 4c + 3c2) = 0 Factor a trinomial. 3((-2 + -1c)(2 + -3c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1c)' equal to zero and attempt to solve: Simplifying -2 + -1c = 0 Solving -2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2Subproblem 2
Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667Solution
c = {-2, 0.6666666667}
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