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Simplifying -1z2 + -8z + -7 = 0 Reorder the terms: -7 + -8z + -1z2 = 0 Solving -7 + -8z + -1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 8z + z2) = 0 Factor a trinomial. -1((7 + z)(1 + z)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + z)' equal to zero and attempt to solve: Simplifying 7 + z = 0 Solving 7 + z = 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 + z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z = 0 + -7 z = 0 + -7 Combine like terms: 0 + -7 = -7 z = -7 Simplifying z = -7Subproblem 2
Set the factor '(1 + z)' equal to zero and attempt to solve: Simplifying 1 + z = 0 Solving 1 + z = 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 + z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z = 0 + -1 z = 0 + -1 Combine like terms: 0 + -1 = -1 z = -1 Simplifying z = -1Solution
z = {-7, -1}
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