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Simplifying 12c2d + -13cd + -35d = 0 Reorder the terms: -13cd + 12c2d + -35d = 0 Solving -13cd + 12c2d + -35d = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'd'. d(-13c + 12c2 + -35) = 0 Factor a trinomial. d((3c + -7)(4c + 5)) = 0Subproblem 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 '(3c + -7)' equal to zero and attempt to solve: Simplifying 3c + -7 = 0 Reorder the terms: -7 + 3c = 0 Solving -7 + 3c = 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 + 3c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3c = 0 + 7 3c = 0 + 7 Combine like terms: 0 + 7 = 7 3c = 7 Divide each side by '3'. c = 2.333333333 Simplifying c = 2.333333333Subproblem 3
Set the factor '(4c + 5)' equal to zero and attempt to solve: Simplifying 4c + 5 = 0 Reorder the terms: 5 + 4c = 0 Solving 5 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4c = 0 + -5 4c = 0 + -5 Combine like terms: 0 + -5 = -5 4c = -5 Divide each side by '4'. c = -1.25 Simplifying c = -1.25Solution
c = {2.333333333, -1.25}
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