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Simplifying (3c + -3)(c + 5) = 0 Reorder the terms: (-3 + 3c)(c + 5) = 0 Reorder the terms: (-3 + 3c)(5 + c) = 0 Multiply (-3 + 3c) * (5 + c) (-3(5 + c) + 3c * (5 + c)) = 0 ((5 * -3 + c * -3) + 3c * (5 + c)) = 0 ((-15 + -3c) + 3c * (5 + c)) = 0 (-15 + -3c + (5 * 3c + c * 3c)) = 0 (-15 + -3c + (15c + 3c2)) = 0 Combine like terms: -3c + 15c = 12c (-15 + 12c + 3c2) = 0 Solving -15 + 12c + 3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 4c + c2) = 0 Factor a trinomial. 3((-5 + -1c)(1 + -1c)) = 0 Ignore the factor 3.Subproblem 1
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 = -5Subproblem 2
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 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 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Solution
c = {-5, 1}
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