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Simplifying 3Z2 + 19Z + -40 = 0 Reorder the terms: -40 + 19Z + 3Z2 = 0 Solving -40 + 19Z + 3Z2 = 0 Solving for variable 'Z'. Factor a trinomial. (-8 + -1Z)(5 + -3Z) = 0Subproblem 1
Set the factor '(-8 + -1Z)' equal to zero and attempt to solve: Simplifying -8 + -1Z = 0 Solving -8 + -1Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1Z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1Z = 0 + 8 -1Z = 0 + 8 Combine like terms: 0 + 8 = 8 -1Z = 8 Divide each side by '-1'. Z = -8 Simplifying Z = -8Subproblem 2
Set the factor '(5 + -3Z)' equal to zero and attempt to solve: Simplifying 5 + -3Z = 0 Solving 5 + -3Z = 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 + -3Z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3Z = 0 + -5 -3Z = 0 + -5 Combine like terms: 0 + -5 = -5 -3Z = -5 Divide each side by '-3'. Z = 1.666666667 Simplifying Z = 1.666666667Solution
Z = {-8, 1.666666667}
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