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