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Simplifying 3c2 + -33c + -78 = 0 Reorder the terms: -78 + -33c + 3c2 = 0 Solving -78 + -33c + 3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(-26 + -11c + c2) = 0 Factor a trinomial. 3((-2 + -1c)(13 + -1c)) = 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 '(13 + -1c)' equal to zero and attempt to solve: Simplifying 13 + -1c = 0 Solving 13 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1c = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1c = 0 + -13 -1c = 0 + -13 Combine like terms: 0 + -13 = -13 -1c = -13 Divide each side by '-1'. c = 13 Simplifying c = 13Solution
c = {-2, 13}
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