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Simplifying 20c2 + 17c + -63 = 0 Reorder the terms: -63 + 17c + 20c2 = 0 Solving -63 + 17c + 20c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -4c)(7 + -5c) = 0Subproblem 1
Set the factor '(-9 + -4c)' equal to zero and attempt to solve: Simplifying -9 + -4c = 0 Solving -9 + -4c = 0 Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4c = 0 + 9 -4c = 0 + 9 Combine like terms: 0 + 9 = 9 -4c = 9 Divide each side by '-4'. c = -2.25 Simplifying c = -2.25Subproblem 2
Set the factor '(7 + -5c)' equal to zero and attempt to solve: Simplifying 7 + -5c = 0 Solving 7 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5c = 0 + -7 -5c = 0 + -7 Combine like terms: 0 + -7 = -7 -5c = -7 Divide each side by '-5'. c = 1.4 Simplifying c = 1.4Solution
c = {-2.25, 1.4}
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