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Simplifying (z + -1)((z + -2) * z + i) = 0 Reorder the terms: (-1 + z)((z + -2) * z + i) = 0 Reorder the terms: (-1 + z)((-2 + z) * z + i) = 0 Reorder the terms for easier multiplication: (-1 + z)(z(-2 + z) + i) = 0 (-1 + z)((-2 * z + z * z) + i) = 0 (-1 + z)((-2z + z2) + i) = 0 Reorder the terms: (-1 + z)(i + -2z + z2) = 0 Multiply (-1 + z) * (i + -2z + z2) (-1(i + -2z + z2) + z(i + -2z + z2)) = 0 ((i * -1 + -2z * -1 + z2 * -1) + z(i + -2z + z2)) = 0 ((-1i + 2z + -1z2) + z(i + -2z + z2)) = 0 (-1i + 2z + -1z2 + (i * z + -2z * z + z2 * z)) = 0 (-1i + 2z + -1z2 + (iz + -2z2 + z3)) = 0 Reorder the terms: (-1i + iz + 2z + -1z2 + -2z2 + z3) = 0 Combine like terms: -1z2 + -2z2 = -3z2 (-1i + iz + 2z + -3z2 + z3) = 0 Solving -1i + iz + 2z + -3z2 + z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2z' to each side of the equation. -1i + iz + 2z + -3z2 + -2z + z3 = 0 + -2z Reorder the terms: -1i + iz + 2z + -2z + -3z2 + z3 = 0 + -2z Combine like terms: 2z + -2z = 0 -1i + iz + 0 + -3z2 + z3 = 0 + -2z -1i + iz + -3z2 + z3 = 0 + -2z Remove the zero: -1i + iz + -3z2 + z3 = -2z Add '3z2' to each side of the equation. -1i + iz + -3z2 + 3z2 + z3 = -2z + 3z2 Combine like terms: -3z2 + 3z2 = 0 -1i + iz + 0 + z3 = -2z + 3z2 -1i + iz + z3 = -2z + 3z2 Add '-1z3' to each side of the equation. -1i + iz + z3 + -1z3 = -2z + 3z2 + -1z3 Combine like terms: z3 + -1z3 = 0 -1i + iz + 0 = -2z + 3z2 + -1z3 -1i + iz = -2z + 3z2 + -1z3 Reorder the terms: -1i + iz + 2z + -3z2 + z3 = -2z + 2z + 3z2 + -3z2 + -1z3 + z3 Combine like terms: -2z + 2z = 0 -1i + iz + 2z + -3z2 + z3 = 0 + 3z2 + -3z2 + -1z3 + z3 -1i + iz + 2z + -3z2 + z3 = 3z2 + -3z2 + -1z3 + z3 Combine like terms: 3z2 + -3z2 = 0 -1i + iz + 2z + -3z2 + z3 = 0 + -1z3 + z3 -1i + iz + 2z + -3z2 + z3 = -1z3 + z3 Combine like terms: -1z3 + z3 = 0 -1i + iz + 2z + -3z2 + z3 = 0 The solution to this equation could not be determined.
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