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