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Simplifying 5z2 + -8z = 0 Reorder the terms: -8z + 5z2 = 0 Solving -8z + 5z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-8 + 5z) = 0Subproblem 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 + 5z)' equal to zero and attempt to solve: Simplifying -8 + 5z = 0 Solving -8 + 5z = 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 + 5z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5z = 0 + 8 5z = 0 + 8 Combine like terms: 0 + 8 = 8 5z = 8 Divide each side by '5'. z = 1.6 Simplifying z = 1.6Solution
z = {0, 1.6}
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