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Simplifying 4xz + -2xy + 3zx = 0 Reorder the terms: -2xy + 4xz + 3xz = 0 Combine like terms: 4xz + 3xz = 7xz -2xy + 7xz = 0 Solving -2xy + 7xz = 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(-2y + 7z) = 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 '(-2y + 7z)' equal to zero and attempt to solve: Simplifying -2y + 7z = 0 Solving -2y + 7z = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -2y + 2y + 7z = 0 + 2y Combine like terms: -2y + 2y = 0 0 + 7z = 0 + 2y 7z = 0 + 2y Remove the zero: 7z = 2y Add '-7z' to each side of the equation. 7z + -7z = 2y + -7z Combine like terms: 7z + -7z = 0 0 = 2y + -7z Simplifying 0 = 2y + -7z 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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