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Simplifying 5z(z + 8) = 0 Reorder the terms: 5z(8 + z) = 0 (8 * 5z + z * 5z) = 0 (40z + 5z2) = 0 Solving 40z + 5z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(8 + z) = 0 Ignore the factor 5.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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