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Simplifying 12c2 + 46c + 40 = 0 Reorder the terms: 40 + 46c + 12c2 = 0 Solving 40 + 46c + 12c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(20 + 23c + 6c2) = 0 Factor a trinomial. 2((5 + 2c)(4 + 3c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 2c)' equal to zero and attempt to solve: Simplifying 5 + 2c = 0 Solving 5 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 0 + -5 2c = 0 + -5 Combine like terms: 0 + -5 = -5 2c = -5 Divide each side by '2'. c = -2.5 Simplifying c = -2.5Subproblem 2
Set the factor '(4 + 3c)' equal to zero and attempt to solve: Simplifying 4 + 3c = 0 Solving 4 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3c = 0 + -4 3c = 0 + -4 Combine like terms: 0 + -4 = -4 3c = -4 Divide each side by '3'. c = -1.333333333 Simplifying c = -1.333333333Solution
c = {-2.5, -1.333333333}
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