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Simplifying (Z + -4)(-1z) = 0 Reorder the terms: (-4 + Z)(-1z) = 0 Remove parenthesis around (-1z) (-4 + Z) * -1z = 0 Reorder the terms for easier multiplication: -1z(-4 + Z) = 0 (-4 * -1z + Z * -1z) = 0 (4z + -1zZ) = 0 Solving 4z + -1zZ = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'z'. z(4 + -1Z) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 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 z 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
z = {0}
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