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Simplifying c2d2 + 11cd + 28 = 0 Reorder the terms: 28 + 11cd + c2d2 = 0 Solving 28 + 11cd + c2d2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + cd)(4 + 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 '(4 + cd)' equal to zero and attempt to solve: Simplifying 4 + cd = 0 Solving 4 + cd = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + cd = 0 + -4 Combine like terms: 4 + -4 = 0 0 + cd = 0 + -4 cd = 0 + -4 Combine like terms: 0 + -4 = -4 cd = -4 Divide each side by 'd'. c = -4d-1 Simplifying c = -4d-1Solution
c = {-7d-1, -4d-1}
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