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Simplifying 50z2 + -90z = 0 Reorder the terms: -90z + 50z2 = 0 Solving -90z + 50z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '10z'. 10z(-9 + 5z) = 0 Ignore the factor 10.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 '(-9 + 5z)' equal to zero and attempt to solve: Simplifying -9 + 5z = 0 Solving -9 + 5z = 0 Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 5z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5z = 0 + 9 5z = 0 + 9 Combine like terms: 0 + 9 = 9 5z = 9 Divide each side by '5'. z = 1.8 Simplifying z = 1.8Solution
z = {0, 1.8}
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