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Simplifying 8z2 + -32z = 0 Reorder the terms: -32z + 8z2 = 0 Solving -32z + 8z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '8z'. 8z(-4 + z) = 0 Ignore the factor 8.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 '(-4 + z)' equal to zero and attempt to solve: Simplifying -4 + z = 0 Solving -4 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + z = 0 + 4 z = 0 + 4 Combine like terms: 0 + 4 = 4 z = 4 Simplifying z = 4Solution
z = {0, 4}
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