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