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Simplifying -20c3 + 63c + 17c2 = 0 Reorder the terms: 63c + 17c2 + -20c3 = 0 Solving 63c + 17c2 + -20c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(63 + 17c + -20c2) = 0 Factor a trinomial. c((9 + -4c)(7 + 5c)) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
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 3
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 = {0, 2.25, -1.4}
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