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Simplifying 25c2 + 100c + 64 = 0 Reorder the terms: 64 + 100c + 25c2 = 0 Solving 64 + 100c + 25c2 = 0 Solving for variable 'c'. Factor a trinomial. (16 + 5c)(4 + 5c) = 0Subproblem 1
Set the factor '(16 + 5c)' equal to zero and attempt to solve: Simplifying 16 + 5c = 0 Solving 16 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5c = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5c = 0 + -16 5c = 0 + -16 Combine like terms: 0 + -16 = -16 5c = -16 Divide each side by '5'. c = -3.2 Simplifying c = -3.2Subproblem 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 = {-3.2, -0.8}
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