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Simplifying 18c2 + 32c + -8 = 0 Reorder the terms: -8 + 32c + 18c2 = 0 Solving -8 + 32c + 18c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 16c + 9c2) = 0 Factor a trinomial. 2((-2 + -1c)(2 + -9c)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(2 + -9c)' equal to zero and attempt to solve: Simplifying 2 + -9c = 0 Solving 2 + -9c = 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 + -9c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9c = 0 + -2 -9c = 0 + -2 Combine like terms: 0 + -2 = -2 -9c = -2 Divide each side by '-9'. c = 0.2222222222 Simplifying c = 0.2222222222Solution
c = {-2, 0.2222222222}
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