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Simplifying Z4 + -625 = 0 Reorder the terms: -625 + Z4 = 0 Solving -625 + Z4 = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '625' to each side of the equation. -625 + 625 + Z4 = 0 + 625 Combine like terms: -625 + 625 = 0 0 + Z4 = 0 + 625 Z4 = 0 + 625 Combine like terms: 0 + 625 = 625 Z4 = 625 Simplifying Z4 = 625 Reorder the terms: -625 + Z4 = 625 + -625 Combine like terms: 625 + -625 = 0 -625 + Z4 = 0 Factor a difference between two squares. (25 + Z2)(-25 + Z2) = 0 Factor a difference between two squares. (25 + Z2)((5 + Z)(-5 + Z)) = 0Subproblem 1
Set the factor '(25 + Z2)' equal to zero and attempt to solve: Simplifying 25 + Z2 = 0 Solving 25 + Z2 = 0 Move all terms containing Z to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + Z2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + Z2 = 0 + -25 Z2 = 0 + -25 Combine like terms: 0 + -25 = -25 Z2 = -25 Simplifying Z2 = -25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + Z)' equal to zero and attempt to solve: Simplifying 5 + Z = 0 Solving 5 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + Z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + Z = 0 + -5 Z = 0 + -5 Combine like terms: 0 + -5 = -5 Z = -5 Simplifying Z = -5Subproblem 3
Set the factor '(-5 + Z)' equal to zero and attempt to solve: Simplifying -5 + Z = 0 Solving -5 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + Z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + Z = 0 + 5 Z = 0 + 5 Combine like terms: 0 + 5 = 5 Z = 5 Simplifying Z = 5Solution
Z = {-5, 5}
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