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Simplifying c2 + -3cf + -10f2 = 0 Reorder the terms: -3cf + c2 + -10f2 = 0 Solving -3cf + c2 + -10f2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -5f)(c + 2f) = 0Subproblem 1
Set the factor '(c + -5f)' equal to zero and attempt to solve: Simplifying c + -5f = 0 Solving c + -5f = 0 Move all terms containing c to the left, all other terms to the right. Add '5f' to each side of the equation. c + -5f + 5f = 0 + 5f Combine like terms: -5f + 5f = 0 c + 0 = 0 + 5f c = 0 + 5f Remove the zero: c = 5f Simplifying c = 5fSubproblem 2
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 = -2fSolution
c = {5f, -2f}
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