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