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Simplifying c2 + -7cd + 10d2 = 0 Reorder the terms: -7cd + c2 + 10d2 = 0 Solving -7cd + c2 + 10d2 = 0 Solving for variable 'c'. Factor a trinomial. (c + -5d)(c + -2d) = 0Subproblem 1
Set the factor '(c + -5d)' equal to zero and attempt to solve: Simplifying c + -5d = 0 Solving c + -5d = 0 Move all terms containing c to the left, all other terms to the right. Add '5d' to each side of the equation. c + -5d + 5d = 0 + 5d Combine like terms: -5d + 5d = 0 c + 0 = 0 + 5d c = 0 + 5d Remove the zero: c = 5d Simplifying c = 5dSubproblem 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 = {5d, 2d}
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