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Simplifying 80cd2 + -36c2d + 4c3 = 0 Solving 80cd2 + -36c2d + 4c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(20d2 + -9cd + c2) = 0 Factor a trinomial. 4c((4d + -1c)(5d + -1c)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(4d + -1c)' equal to zero and attempt to solve: Simplifying 4d + -1c = 0 Reorder the terms: -1c + 4d = 0 Solving -1c + 4d = 0 Move all terms containing c to the left, all other terms to the right. Add '-4d' to each side of the equation. -1c + 4d + -4d = 0 + -4d Combine like terms: 4d + -4d = 0 -1c + 0 = 0 + -4d -1c = 0 + -4d Remove the zero: -1c = -4d Divide each side by '-1'. c = 4d Simplifying c = 4dSubproblem 3
Set the factor '(5d + -1c)' equal to zero and attempt to solve: Simplifying 5d + -1c = 0 Reorder the terms: -1c + 5d = 0 Solving -1c + 5d = 0 Move all terms containing c to the left, all other terms to the right. Add '-5d' to each side of the equation. -1c + 5d + -5d = 0 + -5d Combine like terms: 5d + -5d = 0 -1c + 0 = 0 + -5d -1c = 0 + -5d Remove the zero: -1c = -5d Divide each side by '-1'. c = 5d Simplifying c = 5dSolution
c = {0, 4d, 5d}
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