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Simplifying (zx + -4x)(-2) = 0 Reorder the terms: (-4x + xz)(-2) = 0 Reorder the terms for easier multiplication: -2(-4x + xz) = 0 (-4x * -2 + xz * -2) = 0 (8x + -2xz) = 0 Solving 8x + -2xz = 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(4 + -1z) = 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 '(4 + -1z)' equal to zero and attempt to solve: Simplifying 4 + -1z = 0 Solving 4 + -1z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1z = 0 + -4 -1z = 0 + -4 Combine like terms: 0 + -4 = -4 -1z = -4 Add 'z' to each side of the equation. -1z + z = -4 + z Combine like terms: -1z + z = 0 0 = -4 + z Simplifying 0 = -4 + 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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