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Simplifying Z7 = 4Z5 Solving Z7 = 4Z5 Solving for variable 'Z'. Reorder the terms: -4Z5 + Z7 = 4Z5 + -4Z5 Combine like terms: 4Z5 + -4Z5 = 0 -4Z5 + Z7 = 0 Factor out the Greatest Common Factor (GCF), 'Z5'. Z5(-4 + Z2) = 0 Factor a difference between two squares. Z5((2 + Z)(-2 + Z)) = 0Subproblem 1
Set the factor 'Z5' equal to zero and attempt to solve: Simplifying Z5 = 0 Solving Z5 = 0 Move all terms containing Z to the left, all other terms to the right. Simplifying Z5 = 0 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 '(2 + Z)' equal to zero and attempt to solve: Simplifying 2 + Z = 0 Solving 2 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + Z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Z = 0 + -2 Z = 0 + -2 Combine like terms: 0 + -2 = -2 Z = -2 Simplifying Z = -2Subproblem 3
Set the factor '(-2 + Z)' equal to zero and attempt to solve: Simplifying -2 + Z = 0 Solving -2 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + Z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + Z = 0 + 2 Z = 0 + 2 Combine like terms: 0 + 2 = 2 Z = 2 Simplifying Z = 2Solution
Z = {-2, 2}
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