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Simplifying 15c2 = 36 + 33c Solving 15c2 = 36 + 33c Solving for variable 'c'. Reorder the terms: -36 + -33c + 15c2 = 36 + 33c + -36 + -33c Reorder the terms: -36 + -33c + 15c2 = 36 + -36 + 33c + -33c Combine like terms: 36 + -36 = 0 -36 + -33c + 15c2 = 0 + 33c + -33c -36 + -33c + 15c2 = 33c + -33c Combine like terms: 33c + -33c = 0 -36 + -33c + 15c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + -11c + 5c2) = 0 Factor a trinomial. 3((-4 + -5c)(3 + -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 '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-0.8, 3}
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