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Simplifying c2d2 + -3cd + -28 = 0 Reorder the terms: -28 + -3cd + c2d2 = 0 Solving -28 + -3cd + c2d2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -1cd)(7 + -1cd) = 0Subproblem 1
Set the factor '(-4 + -1cd)' equal to zero and attempt to solve: Simplifying -4 + -1cd = 0 Solving -4 + -1cd = 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 + -1cd = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1cd = 0 + 4 -1cd = 0 + 4 Combine like terms: 0 + 4 = 4 -1cd = 4 Divide each side by '-1d'. c = -4d-1 Simplifying c = -4d-1Subproblem 2
Set the factor '(7 + -1cd)' equal to zero and attempt to solve: Simplifying 7 + -1cd = 0 Solving 7 + -1cd = 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 + -1cd = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1cd = 0 + -7 -1cd = 0 + -7 Combine like terms: 0 + -7 = -7 -1cd = -7 Divide each side by '-1d'. c = 7d-1 Simplifying c = 7d-1Solution
c = {-4d-1, 7d-1}
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