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Simplifying 2c(4c + -5) + -9(4c + -5) = 0 Reorder the terms: 2c(-5 + 4c) + -9(4c + -5) = 0 (-5 * 2c + 4c * 2c) + -9(4c + -5) = 0 (-10c + 8c2) + -9(4c + -5) = 0 Reorder the terms: -10c + 8c2 + -9(-5 + 4c) = 0 -10c + 8c2 + (-5 * -9 + 4c * -9) = 0 -10c + 8c2 + (45 + -36c) = 0 Reorder the terms: 45 + -10c + -36c + 8c2 = 0 Combine like terms: -10c + -36c = -46c 45 + -46c + 8c2 = 0 Solving 45 + -46c + 8c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + -4c)(9 + -2c) = 0Subproblem 1
Set the factor '(5 + -4c)' equal to zero and attempt to solve: Simplifying 5 + -4c = 0 Solving 5 + -4c = 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 + -4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4c = 0 + -5 -4c = 0 + -5 Combine like terms: 0 + -5 = -5 -4c = -5 Divide each side by '-4'. c = 1.25 Simplifying c = 1.25Subproblem 2
Set the factor '(9 + -2c)' equal to zero and attempt to solve: Simplifying 9 + -2c = 0 Solving 9 + -2c = 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 + -2c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2c = 0 + -9 -2c = 0 + -9 Combine like terms: 0 + -9 = -9 -2c = -9 Divide each side by '-2'. c = 4.5 Simplifying c = 4.5Solution
c = {1.25, 4.5}
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