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Simplifying 2xz = 4x + 6yx Solving 2xz = 4x + 6xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4x + 2xz = 4x + -4x + 6xy Combine like terms: 4x + -4x = 0 -4x + 2xz = 0 + 6xy -4x + 2xz = 6xy Add '-6xy' to each side of the equation. -4x + -6xy + 2xz = 6xy + -6xy Combine like terms: 6xy + -6xy = 0 -4x + -6xy + 2xz = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-2 + -3y + z) = 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 '(-2 + -3y + z)' equal to zero and attempt to solve: Simplifying -2 + -3y + z = 0 Solving -2 + -3y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3y + 2 + z = 0 + 2 Reorder the terms: -2 + 2 + -3y + z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3y + z = 0 + 2 -3y + z = 0 + 2 Combine like terms: 0 + 2 = 2 -3y + z = 2 Add '3y' to each side of the equation. -3y + 3y + z = 2 + 3y Combine like terms: -3y + 3y = 0 0 + z = 2 + 3y z = 2 + 3y Add '-1z' to each side of the equation. z + -1z = 2 + 3y + -1z Combine like terms: z + -1z = 0 0 = 2 + 3y + -1z Simplifying 0 = 2 + 3y + -1z 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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