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Simplifying 5z(z + 4) = 0 Reorder the terms: 5z(4 + z) = 0 (4 * 5z + z * 5z) = 0 (20z + 5z2) = 0 Solving 20z + 5z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '5z'. 5z(4 + 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 '(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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