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Simplifying 15 = 3c(16 + -3c) 15 = (16 * 3c + -3c * 3c) 15 = (48c + -9c2) Solving 15 = 48c + -9c2 Solving for variable 'c'. Reorder the terms: 15 + -48c + 9c2 = 48c + -48c + -9c2 + 9c2 Combine like terms: 48c + -48c = 0 15 + -48c + 9c2 = 0 + -9c2 + 9c2 15 + -48c + 9c2 = -9c2 + 9c2 Combine like terms: -9c2 + 9c2 = 0 15 + -48c + 9c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(5 + -16c + 3c2) = 0 Factor a trinomial. 3((1 + -3c)(5 + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + -3c)' equal to zero and attempt to solve: Simplifying 1 + -3c = 0 Solving 1 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3c = 0 + -1 -3c = 0 + -1 Combine like terms: 0 + -1 = -1 -3c = -1 Divide each side by '-3'. c = 0.3333333333 Simplifying c = 0.3333333333Subproblem 2
Set the factor '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Divide each side by '-1'. c = 5 Simplifying c = 5Solution
c = {0.3333333333, 5}
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