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Simplifying 23z2 + -10z = 0 Reorder the terms: -10z + 23z2 = 0 Solving -10z + 23z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(-10 + 23z) = 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 '(-10 + 23z)' equal to zero and attempt to solve: Simplifying -10 + 23z = 0 Solving -10 + 23z = 0 Move all terms containing z to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 23z = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 23z = 0 + 10 23z = 0 + 10 Combine like terms: 0 + 10 = 10 23z = 10 Divide each side by '23'. z = 0.4347826087 Simplifying z = 0.4347826087Solution
z = {0, 0.4347826087}
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