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Simplifying 46z2 + 34z = 0 Reorder the terms: 34z + 46z2 = 0 Solving 34z + 46z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), '2z'. 2z(17 + 23z) = 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 '(17 + 23z)' equal to zero and attempt to solve: Simplifying 17 + 23z = 0 Solving 17 + 23z = 0 Move all terms containing z to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 23z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 23z = 0 + -17 23z = 0 + -17 Combine like terms: 0 + -17 = -17 23z = -17 Divide each side by '23'. z = -0.7391304348 Simplifying z = -0.7391304348Solution
z = {0, -0.7391304348}
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