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Simplifying 15c2 = 48 + 48c Solving 15c2 = 48 + 48c Solving for variable 'c'. Reorder the terms: -48 + -48c + 15c2 = 48 + 48c + -48 + -48c Reorder the terms: -48 + -48c + 15c2 = 48 + -48 + 48c + -48c Combine like terms: 48 + -48 = 0 -48 + -48c + 15c2 = 0 + 48c + -48c -48 + -48c + 15c2 = 48c + -48c Combine like terms: 48c + -48c = 0 -48 + -48c + 15c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-16 + -16c + 5c2) = 0 Factor a trinomial. 3((-4 + -5c)(4 + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve: Simplifying -4 + -5c = 0 Solving -4 + -5c = 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 + -5c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5c = 0 + 4 -5c = 0 + 4 Combine like terms: 0 + 4 = 4 -5c = 4 Divide each side by '-5'. c = -0.8 Simplifying c = -0.8Subproblem 2
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 = 4Solution
c = {-0.8, 4}
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