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Simplifying (2c + -6)(c + 6) = 0 Reorder the terms: (-6 + 2c)(c + 6) = 0 Reorder the terms: (-6 + 2c)(6 + c) = 0 Multiply (-6 + 2c) * (6 + c) (-6(6 + c) + 2c * (6 + c)) = 0 ((6 * -6 + c * -6) + 2c * (6 + c)) = 0 ((-36 + -6c) + 2c * (6 + c)) = 0 (-36 + -6c + (6 * 2c + c * 2c)) = 0 (-36 + -6c + (12c + 2c2)) = 0 Combine like terms: -6c + 12c = 6c (-36 + 6c + 2c2) = 0 Solving -36 + 6c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 3c + c2) = 0 Factor a trinomial. 2((-6 + -1c)(3 + -1c)) = 0 Ignore the factor 2.Subproblem 1
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 = -6Subproblem 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 = {-6, 3}
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