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Simplifying 25c2 + 30cf + 9f2 = 0 Reorder the terms: 30cf + 25c2 + 9f2 = 0 Solving 30cf + 25c2 + 9f2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 3f)(5c + 3f) = 0Subproblem 1
Set the factor '(5c + 3f)' equal to zero and attempt to solve: Simplifying 5c + 3f = 0 Solving 5c + 3f = 0 Move all terms containing c to the left, all other terms to the right. Add '-3f' to each side of the equation. 5c + 3f + -3f = 0 + -3f Combine like terms: 3f + -3f = 0 5c + 0 = 0 + -3f 5c = 0 + -3f Remove the zero: 5c = -3f Divide each side by '5'. c = -0.6f Simplifying c = -0.6fSubproblem 2
Set the factor '(5c + 3f)' equal to zero and attempt to solve: Simplifying 5c + 3f = 0 Solving 5c + 3f = 0 Move all terms containing c to the left, all other terms to the right. Add '-3f' to each side of the equation. 5c + 3f + -3f = 0 + -3f Combine like terms: 3f + -3f = 0 5c + 0 = 0 + -3f 5c = 0 + -3f Remove the zero: 5c = -3f Divide each side by '5'. c = -0.6f Simplifying c = -0.6fSolution
c = {-0.6f, -0.6f}
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