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Simplifying 25c2 + 32 = -60c Reorder the terms: 32 + 25c2 = -60c Solving 32 + 25c2 = -60c Solving for variable 'c'. Reorder the terms: 32 + 60c + 25c2 = -60c + 60c Combine like terms: -60c + 60c = 0 32 + 60c + 25c2 = 0 Factor a trinomial. (8 + 5c)(4 + 5c) = 0Subproblem 1
Set the factor '(8 + 5c)' equal to zero and attempt to solve: Simplifying 8 + 5c = 0 Solving 8 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5c = 0 + -8 5c = 0 + -8 Combine like terms: 0 + -8 = -8 5c = -8 Divide each side by '5'. c = -1.6 Simplifying c = -1.6Subproblem 2
Set the factor '(4 + 5c)' equal to zero and attempt to solve: Simplifying 4 + 5c = 0 Solving 4 + 5c = 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 + 5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5c = 0 + -4 5c = 0 + -4 Combine like terms: 0 + -4 = -4 5c = -4 Divide each side by '5'. c = -0.8 Simplifying c = -0.8Solution
c = {-1.6, -0.8}
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