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Simplifying 2yx + 0.5yx = 0.5yx + 2x Combine like terms: 2xy + 0.5xy = 2.5xy 2.5xy = 0.5yx + 2x Reorder the terms: 2.5xy = 2x + 0.5xy Solving 2.5xy = 2x + 0.5xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2x + 2.5xy = 2x + -2x + 0.5xy Combine like terms: 2x + -2x = 0 -2x + 2.5xy = 0 + 0.5xy -2x + 2.5xy = 0.5xy Add '-0.5xy' to each side of the equation. -2x + 2.5xy + -0.5xy = 0.5xy + -0.5xy Combine like terms: 2.5xy + -0.5xy = 2xy -2x + 2xy = 0.5xy + -0.5xy Combine like terms: 0.5xy + -0.5xy = 0.0 -2x + 2xy = 0.0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1 + y) = 0.0 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 '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Add '-1y' to each side of the equation. y + -1y = 1 + -1y Combine like terms: y + -1y = 0 0 = 1 + -1y Simplifying 0 = 1 + -1y 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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