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Simplifying 0 = 10z2 + -9z Reorder the terms: 0 = -9z + 10z2 Solving 0 = -9z + 10z2 Solving for variable 'z'. Remove the zero: 9z + -10z2 = -9z + 10z2 + 9z + -10z2 Reorder the terms: 9z + -10z2 = -9z + 9z + 10z2 + -10z2 Combine like terms: -9z + 9z = 0 9z + -10z2 = 0 + 10z2 + -10z2 9z + -10z2 = 10z2 + -10z2 Combine like terms: 10z2 + -10z2 = 0 9z + -10z2 = 0 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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