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Simplifying z2 + -1z(z + 3) + 3 = 0 Reorder the terms: z2 + -1z(3 + z) + 3 = 0 z2 + (3 * -1z + z * -1z) + 3 = 0 z2 + (-3z + -1z2) + 3 = 0 Reorder the terms: 3 + -3z + z2 + -1z2 = 0 Combine like terms: z2 + -1z2 = 0 3 + -3z + 0 = 0 3 + -3z = 0 Solving 3 + -3z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3z = 0 + -3 -3z = 0 + -3 Combine like terms: 0 + -3 = -3 -3z = -3 Divide each side by '-3'. z = 1 Simplifying z = 1
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