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Simplifying Z2 + 2Z + -3 = 0 Reorder the terms: -3 + 2Z + Z2 = 0 Solving -3 + 2Z + Z2 = 0 Solving for variable 'Z'. Factor a trinomial. (-3 + -1Z)(1 + -1Z) = 0Subproblem 1
Set the factor '(-3 + -1Z)' equal to zero and attempt to solve: Simplifying -3 + -1Z = 0 Solving -3 + -1Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1Z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1Z = 0 + 3 -1Z = 0 + 3 Combine like terms: 0 + 3 = 3 -1Z = 3 Divide each side by '-1'. Z = -3 Simplifying Z = -3Subproblem 2
Set the factor '(1 + -1Z)' equal to zero and attempt to solve: Simplifying 1 + -1Z = 0 Solving 1 + -1Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1Z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1Z = 0 + -1 -1Z = 0 + -1 Combine like terms: 0 + -1 = -1 -1Z = -1 Divide each side by '-1'. Z = 1 Simplifying Z = 1Solution
Z = {-3, 1}
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