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Simplifying 5x + -15xy + xz = 0 Solving 5x + -15xy + xz = 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(5 + -15y + z) = 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 '(5 + -15y + z)' equal to zero and attempt to solve: Simplifying 5 + -15y + z = 0 Solving 5 + -15y + z = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -15y + -5 + z = 0 + -5 Reorder the terms: 5 + -5 + -15y + z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -15y + z = 0 + -5 -15y + z = 0 + -5 Combine like terms: 0 + -5 = -5 -15y + z = -5 Add '15y' to each side of the equation. -15y + 15y + z = -5 + 15y Combine like terms: -15y + 15y = 0 0 + z = -5 + 15y z = -5 + 15y Add '-1z' to each side of the equation. z + -1z = -5 + 15y + -1z Combine like terms: z + -1z = 0 0 = -5 + 15y + -1z Simplifying 0 = -5 + 15y + -1z 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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