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Simplifying Z2 + -13Z + 12 = 0 Reorder the terms: 12 + -13Z + Z2 = 0 Solving 12 + -13Z + Z2 = 0 Solving for variable 'Z'. Factor a trinomial. (1 + -1Z)(12 + -1Z) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(12 + -1Z)' equal to zero and attempt to solve: Simplifying 12 + -1Z = 0 Solving 12 + -1Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1Z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1Z = 0 + -12 -1Z = 0 + -12 Combine like terms: 0 + -12 = -12 -1Z = -12 Divide each side by '-1'. Z = 12 Simplifying Z = 12Solution
Z = {1, 12}
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