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Simplifying 8z + -50z2 = 0 Solving 8z + -50z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z'. 2z(4 + -25z) = 0 Ignore the factor 2.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 + -25z)' equal to zero and attempt to solve: Simplifying 4 + -25z = 0 Solving 4 + -25z = 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 + -25z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -25z = 0 + -4 -25z = 0 + -4 Combine like terms: 0 + -4 = -4 -25z = -4 Divide each side by '-25'. z = 0.16 Simplifying z = 0.16Solution
z = {0, 0.16}
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