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Simplifying 27z2 + 38z = 0 Reorder the terms: 38z + 27z2 = 0 Solving 38z + 27z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(38 + 27z) = 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 '(38 + 27z)' equal to zero and attempt to solve: Simplifying 38 + 27z = 0 Solving 38 + 27z = 0 Move all terms containing z to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 27z = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 27z = 0 + -38 27z = 0 + -38 Combine like terms: 0 + -38 = -38 27z = -38 Divide each side by '27'. z = -1.407407407 Simplifying z = -1.407407407Solution
z = {0, -1.407407407}
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