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Simplifying (2c + -4)(c + 3) = 0 Reorder the terms: (-4 + 2c)(c + 3) = 0 Reorder the terms: (-4 + 2c)(3 + c) = 0 Multiply (-4 + 2c) * (3 + c) (-4(3 + c) + 2c * (3 + c)) = 0 ((3 * -4 + c * -4) + 2c * (3 + c)) = 0 ((-12 + -4c) + 2c * (3 + c)) = 0 (-12 + -4c + (3 * 2c + c * 2c)) = 0 (-12 + -4c + (6c + 2c2)) = 0 Combine like terms: -4c + 6c = 2c (-12 + 2c + 2c2) = 0 Solving -12 + 2c + 2c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + c + c2) = 0 Factor a trinomial. 2((-3 + -1c)(2 + -1c)) = 0 Ignore the factor 2.Subproblem 1
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 = -3Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Solution
c = {-3, 2}
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