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Simplifying 32c2 + 48c + 18 = 0 Reorder the terms: 18 + 48c + 32c2 = 0 Solving 18 + 48c + 32c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 24c + 16c2) = 0 Factor a trinomial. 2((3 + 4c)(3 + 4c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + 4c)' equal to zero and attempt to solve: Simplifying 3 + 4c = 0 Solving 3 + 4c = 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 + 4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4c = 0 + -3 4c = 0 + -3 Combine like terms: 0 + -3 = -3 4c = -3 Divide each side by '4'. c = -0.75 Simplifying c = -0.75Subproblem 2
Set the factor '(3 + 4c)' equal to zero and attempt to solve: Simplifying 3 + 4c = 0 Solving 3 + 4c = 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 + 4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4c = 0 + -3 4c = 0 + -3 Combine like terms: 0 + -3 = -3 4c = -3 Divide each side by '4'. c = -0.75 Simplifying c = -0.75Solution
c = {-0.75, -0.75}
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