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