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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. (-7 + -5c)(9 + -4c) = 0Subproblem 1
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 = -1.4Subproblem 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 = 2.25Solution
c = {-1.4, 2.25}
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