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Simplifying 3z2 + -16z = 0 Reorder the terms: -16z + 3z2 = 0 Solving -16z + 3z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-16 + 3z) = 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 '(-16 + 3z)' equal to zero and attempt to solve: Simplifying -16 + 3z = 0 Solving -16 + 3z = 0 Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 3z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 3z = 0 + 16 3z = 0 + 16 Combine like terms: 0 + 16 = 16 3z = 16 Divide each side by '3'. z = 5.333333333 Simplifying z = 5.333333333Solution
z = {0, 5.333333333}
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