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Simplifying 34z2 + 35z = 0 Reorder the terms: 35z + 34z2 = 0 Solving 35z + 34z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(35 + 34z) = 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 '(35 + 34z)' equal to zero and attempt to solve: Simplifying 35 + 34z = 0 Solving 35 + 34z = 0 Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 34z = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 34z = 0 + -35 34z = 0 + -35 Combine like terms: 0 + -35 = -35 34z = -35 Divide each side by '34'. z = -1.029411765 Simplifying z = -1.029411765Solution
z = {0, -1.029411765}
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