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Simplifying c2 + -14cd + 24d2 = 0 Reorder the terms: -14cd + c2 + 24d2 = 0 Solving -14cd + c2 + 24d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -12d)(c + -2d) = 0Subproblem 1
Set the factor '(c + -12d)' equal to zero and attempt to solve: Simplifying c + -12d = 0 Solving c + -12d = 0 Move all terms containing c to the left, all other terms to the right. Add '12d' to each side of the equation. c + -12d + 12d = 0 + 12d Combine like terms: -12d + 12d = 0 c + 0 = 0 + 12d c = 0 + 12d Remove the zero: c = 12d Simplifying c = 12dSubproblem 2
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 = 2dSolution
c = {12d, 2d}
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