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Simplifying 25c2 + 40cf + 16f2 = 0 Reorder the terms: 40cf + 25c2 + 16f2 = 0 Solving 40cf + 25c2 + 16f2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 4f)(5c + 4f) = 0Subproblem 1
Set the factor '(5c + 4f)' equal to zero and attempt to solve: Simplifying 5c + 4f = 0 Solving 5c + 4f = 0 Move all terms containing c to the left, all other terms to the right. Add '-4f' to each side of the equation. 5c + 4f + -4f = 0 + -4f Combine like terms: 4f + -4f = 0 5c + 0 = 0 + -4f 5c = 0 + -4f Remove the zero: 5c = -4f Divide each side by '5'. c = -0.8f Simplifying c = -0.8fSubproblem 2
Set the factor '(5c + 4f)' equal to zero and attempt to solve: Simplifying 5c + 4f = 0 Solving 5c + 4f = 0 Move all terms containing c to the left, all other terms to the right. Add '-4f' to each side of the equation. 5c + 4f + -4f = 0 + -4f Combine like terms: 4f + -4f = 0 5c + 0 = 0 + -4f 5c = 0 + -4f Remove the zero: 5c = -4f Divide each side by '5'. c = -0.8f Simplifying c = -0.8fSolution
c = {-0.8f, -0.8f}
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