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Simplifying 45c2 + 30c + 5 = 0 Reorder the terms: 5 + 30c + 45c2 = 0 Solving 5 + 30c + 45c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5'. 5(1 + 6c + 9c2) = 0 Factor a trinomial. 5((1 + 3c)(1 + 3c)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Divide each side by '3'. c = -0.3333333333 Simplifying c = -0.3333333333Subproblem 2
Set the factor '(1 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Divide each side by '3'. c = -0.3333333333 Simplifying c = -0.3333333333Solution
c = {-0.3333333333, -0.3333333333}
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