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Simplifying 6xz + 5xy = 0 Reorder the terms: 5xy + 6xz = 0 Solving 5xy + 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), 'x'. x(5y + 6z) = 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 '(5y + 6z)' equal to zero and attempt to solve: Simplifying 5y + 6z = 0 Solving 5y + 6z = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 5y + -5y + 6z = 0 + -5y Combine like terms: 5y + -5y = 0 0 + 6z = 0 + -5y 6z = 0 + -5y Remove the zero: 6z = -5y Add '-6z' to each side of the equation. 6z + -6z = -5y + -6z Combine like terms: 6z + -6z = 0 0 = -5y + -6z Simplifying 0 = -5y + -6z 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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