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Simplifying 9c2 + 3c + -20 = 0 Reorder the terms: -20 + 3c + 9c2 = 0 Solving -20 + 3c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -3c)(4 + -3c) = 0Subproblem 1
Set the factor '(-5 + -3c)' equal to zero and attempt to solve: Simplifying -5 + -3c = 0 Solving -5 + -3c = 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 + -3c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3c = 0 + 5 -3c = 0 + 5 Combine like terms: 0 + 5 = 5 -3c = 5 Divide each side by '-3'. c = -1.666666667 Simplifying c = -1.666666667Subproblem 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 = {-1.666666667, 1.333333333}
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