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Simplifying z2 + (2 + 7i) * z + (-11 + 7i) = 0 Reorder the terms for easier multiplication: z2 + z(2 + 7i) + (-11 + 7i) = 0 z2 + (2 * z + 7i * z) + (-11 + 7i) = 0 Reorder the terms: z2 + (7iz + 2z) + (-11 + 7i) = 0 z2 + (7iz + 2z) + (-11 + 7i) = 0 Remove parenthesis around (-11 + 7i) z2 + 7iz + 2z + -11 + 7i = 0 Reorder the terms: -11 + 7i + 7iz + 2z + z2 = 0 Solving -11 + 7i + 7iz + 2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 7i + 7iz + 2z + 11 + z2 = 0 + 11 Reorder the terms: -11 + 11 + 7i + 7iz + 2z + z2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7i + 7iz + 2z + z2 = 0 + 11 7i + 7iz + 2z + z2 = 0 + 11 Combine like terms: 0 + 11 = 11 7i + 7iz + 2z + z2 = 11 Add '-2z' to each side of the equation. 7i + 7iz + 2z + -2z + z2 = 11 + -2z Combine like terms: 2z + -2z = 0 7i + 7iz + 0 + z2 = 11 + -2z 7i + 7iz + z2 = 11 + -2z Add '-1z2' to each side of the equation. 7i + 7iz + z2 + -1z2 = 11 + -2z + -1z2 Combine like terms: z2 + -1z2 = 0 7i + 7iz + 0 = 11 + -2z + -1z2 7i + 7iz = 11 + -2z + -1z2 Reorder the terms: -11 + 7i + 7iz + 2z + z2 = 11 + -2z + -1z2 + -11 + 2z + z2 Reorder the terms: -11 + 7i + 7iz + 2z + z2 = 11 + -11 + -2z + 2z + -1z2 + z2 Combine like terms: 11 + -11 = 0 -11 + 7i + 7iz + 2z + z2 = 0 + -2z + 2z + -1z2 + z2 -11 + 7i + 7iz + 2z + z2 = -2z + 2z + -1z2 + z2 Combine like terms: -2z + 2z = 0 -11 + 7i + 7iz + 2z + z2 = 0 + -1z2 + z2 -11 + 7i + 7iz + 2z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -11 + 7i + 7iz + 2z + z2 = 0 The solution to this equation could not be determined.
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