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Simplifying 10z2 + -9z = 0 Reorder the terms: -9z + 10z2 = 0 Solving -9z + 10z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-9 + 10z) = 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 '(-9 + 10z)' equal to zero and attempt to solve: Simplifying -9 + 10z = 0 Solving -9 + 10z = 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 + 10z = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10z = 0 + 9 10z = 0 + 9 Combine like terms: 0 + 9 = 9 10z = 9 Divide each side by '10'. z = 0.9 Simplifying z = 0.9Solution
z = {0, 0.9}
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