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Simplifying 9c2 = 30 + -39c Solving 9c2 = 30 + -39c Solving for variable 'c'. Reorder the terms: -30 + 39c + 9c2 = 30 + -39c + -30 + 39c Reorder the terms: -30 + 39c + 9c2 = 30 + -30 + -39c + 39c Combine like terms: 30 + -30 = 0 -30 + 39c + 9c2 = 0 + -39c + 39c -30 + 39c + 9c2 = -39c + 39c Combine like terms: -39c + 39c = 0 -30 + 39c + 9c2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 13c + 3c2) = 0 Factor a trinomial. 3((-5 + -1c)(2 + -3c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -1c)' equal to zero and attempt to solve: Simplifying -5 + -1c = 0 Solving -5 + -1c = 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 + -1c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1c = 0 + 5 -1c = 0 + 5 Combine like terms: 0 + 5 = 5 -1c = 5 Divide each side by '-1'. c = -5 Simplifying c = -5Subproblem 2
Set the factor '(2 + -3c)' equal to zero and attempt to solve: Simplifying 2 + -3c = 0 Solving 2 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 0 + -2 -3c = 0 + -2 Combine like terms: 0 + -2 = -2 -3c = -2 Divide each side by '-3'. c = 0.6666666667 Simplifying c = 0.6666666667Solution
c = {-5, 0.6666666667}
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