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Simplifying (c + -6)(2c + 8) = 0 Reorder the terms: (-6 + c)(2c + 8) = 0 Reorder the terms: (-6 + c)(8 + 2c) = 0 Multiply (-6 + c) * (8 + 2c) (-6(8 + 2c) + c(8 + 2c)) = 0 ((8 * -6 + 2c * -6) + c(8 + 2c)) = 0 ((-48 + -12c) + c(8 + 2c)) = 0 (-48 + -12c + (8 * c + 2c * c)) = 0 (-48 + -12c + (8c + 2c2)) = 0 Combine like terms: -12c + 8c = -4c (-48 + -4c + 2c2) = 0 Solving -48 + -4c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -2c + c2) = 0 Factor a trinomial. 2((-4 + -1c)(6 + -1c)) = 0 Ignore the factor 2.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 '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {-4, 6}
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