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Simplifying 20c2 + 73c = -63 Reorder the terms: 73c + 20c2 = -63 Solving 73c + 20c2 = -63 Solving for variable 'c'. Reorder the terms: 63 + 73c + 20c2 = -63 + 63 Combine like terms: -63 + 63 = 0 63 + 73c + 20c2 = 0 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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