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Simplifying 6c2 + -2c + -60 = 0 Reorder the terms: -60 + -2c + 6c2 = 0 Solving -60 + -2c + 6c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -1c + 3c2) = 0 Factor a trinomial. 2((-3 + -1c)(10 + -3c)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1c)' equal to zero and attempt to solve: Simplifying -3 + -1c = 0 Solving -3 + -1c = 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 + -1c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c = 0 + 3 -1c = 0 + 3 Combine like terms: 0 + 3 = 3 -1c = 3 Divide each side by '-1'. c = -3 Simplifying c = -3Subproblem 2
Set the factor '(10 + -3c)' equal to zero and attempt to solve: Simplifying 10 + -3c = 0 Solving 10 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3c = 0 + -10 -3c = 0 + -10 Combine like terms: 0 + -10 = -10 -3c = -10 Divide each side by '-3'. c = 3.333333333 Simplifying c = 3.333333333Solution
c = {-3, 3.333333333}
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