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Simplifying 12x + (9y * 6x) + -2x = 0 Reorder the terms for easier multiplication: 12x + (9 * 6y * x) + -2x = 0 Multiply 9 * 6 12x + (54y * x) + -2x = 0 Multiply y * x 12x + (54xy) + -2x = 0 Reorder the terms: 12x + -2x + (54xy) = 0 Combine like terms: 12x + -2x = 10x 10x + (54xy) = 0 Solving 10x + (54xy) = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + (27y)) = 0 Ignore the factor 2.Subproblem 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 '(5 + (27y))' equal to zero and attempt to solve: Simplifying 5 + (27y) = 0 Solving 5 + (27y) = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + (27y) = 0 + -5 Combine like terms: 5 + -5 = 0 0 + (27y) = 0 + -5 (27y) = 0 + -5 Combine like terms: 0 + -5 = -5 (27y) = -5 Add '(-27y)' to each side of the equation. (27y) + (-27y) = -5 + (-27y) Combine like terms: (27y) + (-27y) = 0 0 = -5 + (-27y) Simplifying 0 = -5 + (-27y) 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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