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Simplifying Zx + 4x = 0 Reorder the terms: 4x + xZ = 0 Solving 4x + 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(4 + 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 '(4 + Z)' equal to zero and attempt to solve: Simplifying 4 + Z = 0 Solving 4 + Z = 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 + Z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + Z = 0 + -4 Z = 0 + -4 Combine like terms: 0 + -4 = -4 Z = -4 Add '-1Z' to each side of the equation. Z + -1Z = -4 + -1Z Combine like terms: Z + -1Z = 0 0 = -4 + -1Z Simplifying 0 = -4 + -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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