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Simplifying 2z2 + -1(2 + 5i) * z + -1(2 + -1i) = 0 Reorder the terms for easier multiplication: 2z2 + -1z(2 + 5i) + -1(2 + -1i) = 0 2z2 + (2 * -1z + 5i * -1z) + -1(2 + -1i) = 0 Reorder the terms: 2z2 + (-5iz + -2z) + -1(2 + -1i) = 0 2z2 + (-5iz + -2z) + -1(2 + -1i) = 0 2z2 + -5iz + -2z + (2 * -1 + -1i * -1) = 0 2z2 + -5iz + -2z + (-2 + 1i) = 0 Reorder the terms: -2 + 1i + -5iz + -2z + 2z2 = 0 Solving -2 + 1i + -5iz + -2z + 2z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 1i + -5iz + -2z + 2 + 2z2 = 0 + 2 Reorder the terms: -2 + 2 + 1i + -5iz + -2z + 2z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1i + -5iz + -2z + 2z2 = 0 + 2 1i + -5iz + -2z + 2z2 = 0 + 2 Combine like terms: 0 + 2 = 2 1i + -5iz + -2z + 2z2 = 2 Add '2z' to each side of the equation. 1i + -5iz + -2z + 2z + 2z2 = 2 + 2z Combine like terms: -2z + 2z = 0 1i + -5iz + 0 + 2z2 = 2 + 2z 1i + -5iz + 2z2 = 2 + 2z Add '-2z2' to each side of the equation. 1i + -5iz + 2z2 + -2z2 = 2 + 2z + -2z2 Combine like terms: 2z2 + -2z2 = 0 1i + -5iz + 0 = 2 + 2z + -2z2 1i + -5iz = 2 + 2z + -2z2 Reorder the terms: -2 + 1i + -5iz + -2z + 2z2 = 2 + 2z + -2z2 + -2 + -2z + 2z2 Reorder the terms: -2 + 1i + -5iz + -2z + 2z2 = 2 + -2 + 2z + -2z + -2z2 + 2z2 Combine like terms: 2 + -2 = 0 -2 + 1i + -5iz + -2z + 2z2 = 0 + 2z + -2z + -2z2 + 2z2 -2 + 1i + -5iz + -2z + 2z2 = 2z + -2z + -2z2 + 2z2 Combine like terms: 2z + -2z = 0 -2 + 1i + -5iz + -2z + 2z2 = 0 + -2z2 + 2z2 -2 + 1i + -5iz + -2z + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 -2 + 1i + -5iz + -2z + 2z2 = 0 The solution to this equation could not be determined.
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