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