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