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Simplifying 4c2 + 25c = -36 Reorder the terms: 25c + 4c2 = -36 Solving 25c + 4c2 = -36 Solving for variable 'c'. Reorder the terms: 36 + 25c + 4c2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 25c + 4c2 = 0 Factor a trinomial. (4 + c)(9 + 4c) = 0Subproblem 1
Set the factor '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -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 = {-4, -2.25}
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