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Simplifying c2 + 5cd + -14d2 = 0 Reorder the terms: 5cd + c2 + -14d2 = 0 Solving 5cd + c2 + -14d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -2d)(c + 7d) = 0Subproblem 1
Set the factor '(c + -2d)' equal to zero and attempt to solve: Simplifying c + -2d = 0 Solving c + -2d = 0 Move all terms containing c to the left, all other terms to the right. Add '2d' to each side of the equation. c + -2d + 2d = 0 + 2d Combine like terms: -2d + 2d = 0 c + 0 = 0 + 2d c = 0 + 2d Remove the zero: c = 2d Simplifying c = 2dSubproblem 2
Set the factor '(c + 7d)' equal to zero and attempt to solve: Simplifying c + 7d = 0 Solving c + 7d = 0 Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. c + 7d + -7d = 0 + -7d Combine like terms: 7d + -7d = 0 c + 0 = 0 + -7d c = 0 + -7d Remove the zero: c = -7d Simplifying c = -7dSolution
c = {2d, -7d}
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