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Simplifying 3x(x + 12) = 3x2 + c2x Reorder the terms: 3x(12 + x) = 3x2 + c2x (12 * 3x + x * 3x) = 3x2 + c2x (36x + 3x2) = 3x2 + c2x Reorder the terms: 36x + 3x2 = c2x + 3x2 Add '-3x2' to each side of the equation. 36x + 3x2 + -3x2 = c2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 36x + 0 = c2x + 3x2 + -3x2 36x = c2x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 36x = c2x + 0 36x = c2x Solving 36x = c2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1c2x' to each side of the equation. -1c2x + 36x = c2x + -1c2x Combine like terms: c2x + -1c2x = 0 -1c2x + 36x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1c2 + 36) = 0 Factor a difference between two squares. x((c + 6)(-1c + 6)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(c + 6)' equal to zero and attempt to solve: Simplifying c + 6 = 0 Reorder the terms: 6 + c = 0 Solving 6 + c = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + c = 0 + -6 c = 0 + -6 Combine like terms: 0 + -6 = -6 c = -6 Add '-1c' to each side of the equation. c + -1c = -6 + -1c Combine like terms: c + -1c = 0 0 = -6 + -1c Simplifying 0 = -6 + -1c 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 '(-1c + 6)' equal to zero and attempt to solve: Simplifying -1c + 6 = 0 Reorder the terms: 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Add 'c' to each side of the equation. -1c + c = -6 + c Combine like terms: -1c + c = 0 0 = -6 + c Simplifying 0 = -6 + c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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