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Simplifying 3c2 + -72c + 240 = 0 Reorder the terms: 240 + -72c + 3c2 = 0 Solving 240 + -72c + 3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(80 + -24c + c2) = 0 Factor a trinomial. 3((4 + -1c)(20 + -1c)) = 0 Ignore the factor 3.Subproblem 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 '(20 + -1c)' equal to zero and attempt to solve: Simplifying 20 + -1c = 0 Solving 20 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1c = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1c = 0 + -20 -1c = 0 + -20 Combine like terms: 0 + -20 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20Solution
c = {4, 20}
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