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Simplifying c2d2 + 9cd + 14 = 0 Reorder the terms: 14 + 9cd + c2d2 = 0 Solving 14 + 9cd + c2d2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + cd)(2 + cd) = 0Subproblem 1
Set the factor '(7 + cd)' equal to zero and attempt to solve: Simplifying 7 + cd = 0 Solving 7 + cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + cd = 0 + -7 Combine like terms: 7 + -7 = 0 0 + cd = 0 + -7 cd = 0 + -7 Combine like terms: 0 + -7 = -7 cd = -7 Divide each side by 'd'. c = -7d-1 Simplifying c = -7d-1Subproblem 2
Set the factor '(2 + cd)' equal to zero and attempt to solve: Simplifying 2 + cd = 0 Solving 2 + cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + cd = 0 + -2 Combine like terms: 2 + -2 = 0 0 + cd = 0 + -2 cd = 0 + -2 Combine like terms: 0 + -2 = -2 cd = -2 Divide each side by 'd'. c = -2d-1 Simplifying c = -2d-1Solution
c = {-7d-1, -2d-1}
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