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Simplifying -7Z + -2 = 3Z2 Reorder the terms: -2 + -7Z = 3Z2 Solving -2 + -7Z = 3Z2 Solving for variable 'Z'. Combine like terms: 3Z2 + -3Z2 = 0 -2 + -7Z + -3Z2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 7Z + 3Z2) = 0 Factor a trinomial. -1((2 + Z)(1 + 3Z)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + Z)' equal to zero and attempt to solve: Simplifying 2 + Z = 0 Solving 2 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + Z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + Z = 0 + -2 Z = 0 + -2 Combine like terms: 0 + -2 = -2 Z = -2 Simplifying Z = -2Subproblem 2
Set the factor '(1 + 3Z)' equal to zero and attempt to solve: Simplifying 1 + 3Z = 0 Solving 1 + 3Z = 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 + 3Z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3Z = 0 + -1 3Z = 0 + -1 Combine like terms: 0 + -1 = -1 3Z = -1 Divide each side by '3'. Z = -0.3333333333 Simplifying Z = -0.3333333333Solution
Z = {-2, -0.3333333333}
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