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Simplifying 0 = 3c2x3 + -9cx + -6c Reorder the terms: 0 = -6c + -9cx + 3c2x3 Solving 0 = -6c + -9cx + 3c2x3 Solving for variable 'c'. Remove the zero: 6c + 9cx + -3c2x3 = -6c + -9cx + 3c2x3 + 6c + 9cx + -3c2x3 Reorder the terms: 6c + 9cx + -3c2x3 = -6c + 6c + -9cx + 9cx + 3c2x3 + -3c2x3 Combine like terms: -6c + 6c = 0 6c + 9cx + -3c2x3 = 0 + -9cx + 9cx + 3c2x3 + -3c2x3 6c + 9cx + -3c2x3 = -9cx + 9cx + 3c2x3 + -3c2x3 Combine like terms: -9cx + 9cx = 0 6c + 9cx + -3c2x3 = 0 + 3c2x3 + -3c2x3 6c + 9cx + -3c2x3 = 3c2x3 + -3c2x3 Combine like terms: 3c2x3 + -3c2x3 = 0 6c + 9cx + -3c2x3 = 0 Factor out the Greatest Common Factor (GCF), '3c'. 3c(2 + 3x + -1cx3) = 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 + 3x + -1cx3)' equal to zero and attempt to solve: Simplifying 2 + 3x + -1cx3 = 0 Reorder the terms: 2 + -1cx3 + 3x = 0 Solving 2 + -1cx3 + 3x = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1cx3 + -2 + 3x = 0 + -2 Reorder the terms: 2 + -2 + -1cx3 + 3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1cx3 + 3x = 0 + -2 -1cx3 + 3x = 0 + -2 Combine like terms: 0 + -2 = -2 -1cx3 + 3x = -2 Add '-3x' to each side of the equation. -1cx3 + 3x + -3x = -2 + -3x Combine like terms: 3x + -3x = 0 -1cx3 + 0 = -2 + -3x -1cx3 = -2 + -3x Divide each side by '-1x3'. c = 2x-3 + 3x-2 Simplifying c = 2x-3 + 3x-2Solution
c = {0, 2x-3 + 3x-2}
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