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Simplifying 4x(z + -1y) + 5xy = 0 Reorder the terms: 4x(-1y + z) + 5xy = 0 (-1y * 4x + z * 4x) + 5xy = 0 (-4xy + 4xz) + 5xy = 0 Reorder the terms: -4xy + 5xy + 4xz = 0 Combine like terms: -4xy + 5xy = 1xy 1xy + 4xz = 0 Solving 1xy + 4xz = 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(y + 4z) = 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 '(y + 4z)' equal to zero and attempt to solve: Simplifying y + 4z = 0 Solving y + 4z = 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 + 4z = 0 + -1y Combine like terms: y + -1y = 0 0 + 4z = 0 + -1y 4z = 0 + -1y Remove the zero: 4z = -1y Add '-4z' to each side of the equation. 4z + -4z = -1y + -4z Combine like terms: 4z + -4z = 0 0 = -1y + -4z Simplifying 0 = -1y + -4z 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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