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Simplifying Z2 + -5Z + -36 = 0 Reorder the terms: -36 + -5Z + Z2 = 0 Solving -36 + -5Z + Z2 = 0 Solving for variable 'Z'. Factor a trinomial. (-4 + -1Z)(9 + -1Z) = 0Subproblem 1
Set the factor '(-4 + -1Z)' equal to zero and attempt to solve: Simplifying -4 + -1Z = 0 Solving -4 + -1Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1Z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1Z = 0 + 4 -1Z = 0 + 4 Combine like terms: 0 + 4 = 4 -1Z = 4 Divide each side by '-1'. Z = -4 Simplifying Z = -4Subproblem 2
Set the factor '(9 + -1Z)' equal to zero and attempt to solve: Simplifying 9 + -1Z = 0 Solving 9 + -1Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1Z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1Z = 0 + -9 -1Z = 0 + -9 Combine like terms: 0 + -9 = -9 -1Z = -9 Divide each side by '-1'. Z = 9 Simplifying Z = 9Solution
Z = {-4, 9}
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