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Simplifying 2(c2 + 5c + -24) = 0 Reorder the terms: 2(-24 + 5c + c2) = 0 (-24 * 2 + 5c * 2 + c2 * 2) = 0 (-48 + 10c + 2c2) = 0 Solving -48 + 10c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 5c + c2) = 0 Factor a trinomial. 2((-8 + -1c)(3 + -1c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -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 = {-8, 3}
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