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Simplifying z(z2 + 1) = 1 + z3 Reorder the terms: z(1 + z2) = 1 + z3 (1 * z + z2 * z) = 1 + z3 (1z + z3) = 1 + z3 Add '-1z3' to each side of the equation. 1z + z3 + -1z3 = 1 + z3 + -1z3 Combine like terms: z3 + -1z3 = 0 1z + 0 = 1 + z3 + -1z3 1z = 1 + z3 + -1z3 Combine like terms: z3 + -1z3 = 0 1z = 1 + 0 1z = 1 Solving 1z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '1'. z = 1 Simplifying z = 1
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