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Simplifying -1z2 + -15z + -56 = 0 Reorder the terms: -56 + -15z + -1z2 = 0 Solving -56 + -15z + -1z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '-1'. -1(56 + 15z + z2) = 0 Factor a trinomial. -1((8 + z)(7 + z)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + z)' equal to zero and attempt to solve: Simplifying 8 + z = 0 Solving 8 + z = 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 + z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + z = 0 + -8 z = 0 + -8 Combine like terms: 0 + -8 = -8 z = -8 Simplifying z = -8Subproblem 2
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 = -7Solution
z = {-8, -7}
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