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