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Simplifying 6x + -15xy + 2x + -3xy = 0 Reorder the terms: 6x + 2x + -15xy + -3xy = 0 Combine like terms: 6x + 2x = 8x 8x + -15xy + -3xy = 0 Combine like terms: -15xy + -3xy = -18xy 8x + -18xy = 0 Solving 8x + -18xy = 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(4 + -9y) = 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 '(4 + -9y)' equal to zero and attempt to solve: Simplifying 4 + -9y = 0 Solving 4 + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9y = 0 + -4 -9y = 0 + -4 Combine like terms: 0 + -4 = -4 -9y = -4 Add '9y' to each side of the equation. -9y + 9y = -4 + 9y Combine like terms: -9y + 9y = 0 0 = -4 + 9y Simplifying 0 = -4 + 9y 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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