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Simplifying 3z2 + (1 + -6i) * z + -2i = 0 Reorder the terms for easier multiplication: 3z2 + z(1 + -6i) + -2i = 0 3z2 + (1 * z + -6i * z) + -2i = 0 Reorder the terms: 3z2 + (-6iz + 1z) + -2i = 0 3z2 + (-6iz + 1z) + -2i = 0 Reorder the terms: -2i + -6iz + 1z + 3z2 = 0 Solving -2i + -6iz + 1z + 3z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. -2i + -6iz + 1z + -1z + 3z2 = 0 + -1z Combine like terms: 1z + -1z = 0 -2i + -6iz + 0 + 3z2 = 0 + -1z -2i + -6iz + 3z2 = 0 + -1z Remove the zero: -2i + -6iz + 3z2 = -1z Add '-3z2' to each side of the equation. -2i + -6iz + 3z2 + -3z2 = -1z + -3z2 Combine like terms: 3z2 + -3z2 = 0 -2i + -6iz + 0 = -1z + -3z2 -2i + -6iz = -1z + -3z2 Reorder the terms: -2i + -6iz + z + 3z2 = -1z + z + -3z2 + 3z2 Combine like terms: -1z + z = 0 -2i + -6iz + z + 3z2 = 0 + -3z2 + 3z2 -2i + -6iz + z + 3z2 = -3z2 + 3z2 Combine like terms: -3z2 + 3z2 = 0 -2i + -6iz + z + 3z2 = 0 The solution to this equation could not be determined.
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