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Simplifying z2 + 21z = 0 Reorder the terms: 21z + z2 = 0 Solving 21z + z2 = 0 Solving for variable 'z'. Factor out the Greatest Common Factor (GCF), 'z'. z(21 + 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 '(21 + z)' equal to zero and attempt to solve: Simplifying 21 + z = 0 Solving 21 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + z = 0 + -21 Combine like terms: 21 + -21 = 0 0 + z = 0 + -21 z = 0 + -21 Combine like terms: 0 + -21 = -21 z = -21 Simplifying z = -21Solution
z = {0, -21}
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