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Simplifying 9cr2 + -24cr + -84c = 0 Reorder the terms: -84c + -24cr + 9cr2 = 0 Solving -84c + -24cr + 9cr2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3c'. 3c(-28 + -8r + 3r2) = 0 Factor a trinomial. 3c((-2 + -1r)(14 + -3r)) = 0 Ignore the factor 3.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 '(-2 + -1r)' equal to zero and attempt to solve: Simplifying -2 + -1r = 0 Solving -2 + -1r = 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 + -1r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 0 + 2 -1r = 0 + 2 Combine like terms: 0 + 2 = 2 -1r = 2 Add 'r' to each side of the equation. -1r + r = 2 + r Combine like terms: -1r + r = 0 0 = 2 + r Simplifying 0 = 2 + r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(14 + -3r)' equal to zero and attempt to solve: Simplifying 14 + -3r = 0 Solving 14 + -3r = 0 Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3r = 0 + -14 -3r = 0 + -14 Combine like terms: 0 + -14 = -14 -3r = -14 Add '3r' to each side of the equation. -3r + 3r = -14 + 3r Combine like terms: -3r + 3r = 0 0 = -14 + 3r Simplifying 0 = -14 + 3r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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