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Simplifying z2 + (-1 + 2i) * z + (-12 + 26i) = 0 Reorder the terms for easier multiplication: z2 + z(-1 + 2i) + (-12 + 26i) = 0 z2 + (-1 * z + 2i * z) + (-12 + 26i) = 0 Reorder the terms: z2 + (2iz + -1z) + (-12 + 26i) = 0 z2 + (2iz + -1z) + (-12 + 26i) = 0 Remove parenthesis around (-12 + 26i) z2 + 2iz + -1z + -12 + 26i = 0 Reorder the terms: -12 + 26i + 2iz + -1z + z2 = 0 Solving -12 + 26i + 2iz + -1z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 26i + 2iz + -1z + 12 + z2 = 0 + 12 Reorder the terms: -12 + 12 + 26i + 2iz + -1z + z2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 26i + 2iz + -1z + z2 = 0 + 12 26i + 2iz + -1z + z2 = 0 + 12 Combine like terms: 0 + 12 = 12 26i + 2iz + -1z + z2 = 12 Add 'z' to each side of the equation. 26i + 2iz + -1z + z + z2 = 12 + z Combine like terms: -1z + z = 0 26i + 2iz + 0 + z2 = 12 + z 26i + 2iz + z2 = 12 + z Add '-1z2' to each side of the equation. 26i + 2iz + z2 + -1z2 = 12 + z + -1z2 Combine like terms: z2 + -1z2 = 0 26i + 2iz + 0 = 12 + z + -1z2 26i + 2iz = 12 + z + -1z2 Reorder the terms: -12 + 26i + 2iz + -1z + z2 = 12 + z + -1z2 + -12 + -1z + z2 Reorder the terms: -12 + 26i + 2iz + -1z + z2 = 12 + -12 + z + -1z + -1z2 + z2 Combine like terms: 12 + -12 = 0 -12 + 26i + 2iz + -1z + z2 = 0 + z + -1z + -1z2 + z2 -12 + 26i + 2iz + -1z + z2 = z + -1z + -1z2 + z2 Combine like terms: z + -1z = 0 -12 + 26i + 2iz + -1z + z2 = 0 + -1z2 + z2 -12 + 26i + 2iz + -1z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -12 + 26i + 2iz + -1z + z2 = 0 The solution to this equation could not be determined.
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