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Simplifying 4xy + -6xz = 0 Solving 4xy + -6xz = 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), '2x'. 2x(2y + -3z) = 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 '(2y + -3z)' equal to zero and attempt to solve: Simplifying 2y + -3z = 0 Solving 2y + -3z = 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 + -3z = 0 + -2y Combine like terms: 2y + -2y = 0 0 + -3z = 0 + -2y -3z = 0 + -2y Remove the zero: -3z = -2y Add '3z' to each side of the equation. -3z + 3z = -2y + 3z Combine like terms: -3z + 3z = 0 0 = -2y + 3z Simplifying 0 = -2y + 3z 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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