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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 Multiply z2 * z z3(2 + 7i) + (-11 + 7i) = 0 (2 * z3 + 7i * z3) + (-11 + 7i) = 0 Reorder the terms: (7iz3 + 2z3) + (-11 + 7i) = 0 (7iz3 + 2z3) + (-11 + 7i) = 0 Remove parenthesis around (-11 + 7i) 7iz3 + 2z3 + -11 + 7i = 0 Reorder the terms: -11 + 7i + 7iz3 + 2z3 = 0 Solving -11 + 7i + 7iz3 + 2z3 = 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 + 7iz3 + 11 + 2z3 = 0 + 11 Reorder the terms: -11 + 11 + 7i + 7iz3 + 2z3 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 7i + 7iz3 + 2z3 = 0 + 11 7i + 7iz3 + 2z3 = 0 + 11 Combine like terms: 0 + 11 = 11 7i + 7iz3 + 2z3 = 11 Add '-2z3' to each side of the equation. 7i + 7iz3 + 2z3 + -2z3 = 11 + -2z3 Combine like terms: 2z3 + -2z3 = 0 7i + 7iz3 + 0 = 11 + -2z3 7i + 7iz3 = 11 + -2z3 Reorder the terms: -11 + 7i + 7iz3 + 2z3 = 11 + -2z3 + -11 + 2z3 Reorder the terms: -11 + 7i + 7iz3 + 2z3 = 11 + -11 + -2z3 + 2z3 Combine like terms: 11 + -11 = 0 -11 + 7i + 7iz3 + 2z3 = 0 + -2z3 + 2z3 -11 + 7i + 7iz3 + 2z3 = -2z3 + 2z3 Combine like terms: -2z3 + 2z3 = 0 -11 + 7i + 7iz3 + 2z3 = 0 The solution to this equation could not be determined.
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