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Simplifying 24z2 + 41z = 0 Reorder the terms: 41z + 24z2 = 0 Solving 41z + 24z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(41 + 24z) = 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 '(41 + 24z)' equal to zero and attempt to solve: Simplifying 41 + 24z = 0 Solving 41 + 24z = 0 Move all terms containing z to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 24z = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 24z = 0 + -41 24z = 0 + -41 Combine like terms: 0 + -41 = -41 24z = -41 Divide each side by '24'. z = -1.708333333 Simplifying z = -1.708333333Solution
z = {0, -1.708333333}
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