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Simplifying 5c2 + 30c + 45 = 0 Reorder the terms: 45 + 30c + 5c2 = 0 Solving 45 + 30c + 5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5'. 5(9 + 6c + c2) = 0 Factor a trinomial. 5((3 + c)(3 + c)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 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 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Simplifying c = -3Subproblem 2
Set the factor '(3 + c)' equal to zero and attempt to solve: Simplifying 3 + c = 0 Solving 3 + c = 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 + c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + c = 0 + -3 c = 0 + -3 Combine like terms: 0 + -3 = -3 c = -3 Simplifying c = -3Solution
c = {-3, -3}
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