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Simplifying c2 + 5cf + 6f2 = 0 Reorder the terms: 5cf + c2 + 6f2 = 0 Solving 5cf + c2 + 6f2 = 0 Solving for variable 'c'. Factor a trinomial. (c + 2f)(c + 3f) = 0Subproblem 1
Set the factor '(c + 2f)' equal to zero and attempt to solve: Simplifying c + 2f = 0 Solving c + 2f = 0 Move all terms containing c to the left, all other terms to the right. Add '-2f' to each side of the equation. c + 2f + -2f = 0 + -2f Combine like terms: 2f + -2f = 0 c + 0 = 0 + -2f c = 0 + -2f Remove the zero: c = -2f Simplifying c = -2fSubproblem 2
Set the factor '(c + 3f)' equal to zero and attempt to solve: Simplifying c + 3f = 0 Solving c + 3f = 0 Move all terms containing c to the left, all other terms to the right. Add '-3f' to each side of the equation. c + 3f + -3f = 0 + -3f Combine like terms: 3f + -3f = 0 c + 0 = 0 + -3f c = 0 + -3f Remove the zero: c = -3f Simplifying c = -3fSolution
c = {-2f, -3f}
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