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Simplifying 5c2d + -20cd + 20d = 0 Reorder the terms: -20cd + 5c2d + 20d = 0 Solving -20cd + 5c2d + 20d = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5d'. 5d(-4c + c2 + 4) = 0 Factor a trinomial. 5d((c + -2)(c + -2)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d = 0 + -1d Remove the zero: 0 = -1d Simplifying 0 = -1d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(c + -2)' equal to zero and attempt to solve: Simplifying c + -2 = 0 Reorder the terms: -2 + c = 0 Solving -2 + c = 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 + c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c = 0 + 2 c = 0 + 2 Combine like terms: 0 + 2 = 2 c = 2 Simplifying c = 2Subproblem 3
Set the factor '(c + -2)' equal to zero and attempt to solve: Simplifying c + -2 = 0 Reorder the terms: -2 + c = 0 Solving -2 + c = 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 + c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + c = 0 + 2 c = 0 + 2 Combine like terms: 0 + 2 = 2 c = 2 Simplifying c = 2Solution
c = {2, 2}
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