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Simplifying 25c2 + 60cf + 36f2 = 0 Reorder the terms: 60cf + 25c2 + 36f2 = 0 Solving 60cf + 25c2 + 36f2 = 0 Solving for variable 'c'. Factor a trinomial. (5c + 6f)(5c + 6f) = 0Subproblem 1
Set the factor '(5c + 6f)' equal to zero and attempt to solve: Simplifying 5c + 6f = 0 Solving 5c + 6f = 0 Move all terms containing c to the left, all other terms to the right. Add '-6f' to each side of the equation. 5c + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 5c + 0 = 0 + -6f 5c = 0 + -6f Remove the zero: 5c = -6f Divide each side by '5'. c = -1.2f Simplifying c = -1.2fSubproblem 2
Set the factor '(5c + 6f)' equal to zero and attempt to solve: Simplifying 5c + 6f = 0 Solving 5c + 6f = 0 Move all terms containing c to the left, all other terms to the right. Add '-6f' to each side of the equation. 5c + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 5c + 0 = 0 + -6f 5c = 0 + -6f Remove the zero: 5c = -6f Divide each side by '5'. c = -1.2f Simplifying c = -1.2fSolution
c = {-1.2f, -1.2f}
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