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Simplifying 0 = 10x + -18xy Solving 0 = 10x + -18xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 0 + -10x = 10x + -10x + -18xy Remove the zero: -10x = 10x + -10x + -18xy Combine like terms: 10x + -10x = 0 -10x = 0 + -18xy -10x = -18xy Add '18xy' to each side of the equation. -10x + 18xy = -18xy + 18xy Combine like terms: -18xy + 18xy = 0 -10x + 18xy = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + 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 '(-5 + 9y)' equal to zero and attempt to solve: Simplifying -5 + 9y = 0 Solving -5 + 9y = 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 + 9y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9y = 0 + 5 9y = 0 + 5 Combine like terms: 0 + 5 = 5 9y = 5 Add '-9y' to each side of the equation. 9y + -9y = 5 + -9y Combine like terms: 9y + -9y = 0 0 = 5 + -9y Simplifying 0 = 5 + -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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