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Simplifying 21Z2 + -46Z + -7 = 0 Reorder the terms: -7 + -46Z + 21Z2 = 0 Solving -7 + -46Z + 21Z2 = 0 Solving for variable 'Z'. Factor a trinomial. (-1 + -7Z)(7 + -3Z) = 0Subproblem 1
Set the factor '(-1 + -7Z)' equal to zero and attempt to solve: Simplifying -1 + -7Z = 0 Solving -1 + -7Z = 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 + -7Z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7Z = 0 + 1 -7Z = 0 + 1 Combine like terms: 0 + 1 = 1 -7Z = 1 Divide each side by '-7'. Z = -0.1428571429 Simplifying Z = -0.1428571429Subproblem 2
Set the factor '(7 + -3Z)' equal to zero and attempt to solve: Simplifying 7 + -3Z = 0 Solving 7 + -3Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3Z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3Z = 0 + -7 -3Z = 0 + -7 Combine like terms: 0 + -7 = -7 -3Z = -7 Divide each side by '-3'. Z = 2.333333333 Simplifying Z = 2.333333333Solution
Z = {-0.1428571429, 2.333333333}
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