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Simplifying z2 + 19z = 0 Reorder the terms: 19z + z2 = 0 Solving 19z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(19 + 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 '(19 + z)' equal to zero and attempt to solve: Simplifying 19 + z = 0 Solving 19 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + z = 0 + -19 Combine like terms: 19 + -19 = 0 0 + z = 0 + -19 z = 0 + -19 Combine like terms: 0 + -19 = -19 z = -19 Simplifying z = -19Solution
z = {0, -19}
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