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Simplifying 16z2 + -100z = 0 Reorder the terms: -100z + 16z2 = 0 Solving -100z + 16z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '4z'. 4z(-25 + 4z) = 0 Ignore the factor 4.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 '(-25 + 4z)' equal to zero and attempt to solve: Simplifying -25 + 4z = 0 Solving -25 + 4z = 0 Move all terms containing z to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 4z = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4z = 0 + 25 4z = 0 + 25 Combine like terms: 0 + 25 = 25 4z = 25 Divide each side by '4'. z = 6.25 Simplifying z = 6.25Solution
z = {0, 6.25}
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