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Simplifying 8z2 + -1(36 + -6i) * z + 42 + -11i = 0 Reorder the terms for easier multiplication: 8z2 + -1z(36 + -6i) + 42 + -11i = 0 8z2 + (36 * -1z + -6i * -1z) + 42 + -11i = 0 Reorder the terms: 8z2 + (6iz + -36z) + 42 + -11i = 0 8z2 + (6iz + -36z) + 42 + -11i = 0 Reorder the terms: 42 + -11i + 6iz + -36z + 8z2 = 0 Solving 42 + -11i + 6iz + -36z + 8z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -11i + 6iz + -36z + -42 + 8z2 = 0 + -42 Reorder the terms: 42 + -42 + -11i + 6iz + -36z + 8z2 = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -11i + 6iz + -36z + 8z2 = 0 + -42 -11i + 6iz + -36z + 8z2 = 0 + -42 Combine like terms: 0 + -42 = -42 -11i + 6iz + -36z + 8z2 = -42 Add '36z' to each side of the equation. -11i + 6iz + -36z + 36z + 8z2 = -42 + 36z Combine like terms: -36z + 36z = 0 -11i + 6iz + 0 + 8z2 = -42 + 36z -11i + 6iz + 8z2 = -42 + 36z Add '-8z2' to each side of the equation. -11i + 6iz + 8z2 + -8z2 = -42 + 36z + -8z2 Combine like terms: 8z2 + -8z2 = 0 -11i + 6iz + 0 = -42 + 36z + -8z2 -11i + 6iz = -42 + 36z + -8z2 Reorder the terms: 42 + -11i + 6iz + -36z + 8z2 = -42 + 36z + -8z2 + 42 + -36z + 8z2 Reorder the terms: 42 + -11i + 6iz + -36z + 8z2 = -42 + 42 + 36z + -36z + -8z2 + 8z2 Combine like terms: -42 + 42 = 0 42 + -11i + 6iz + -36z + 8z2 = 0 + 36z + -36z + -8z2 + 8z2 42 + -11i + 6iz + -36z + 8z2 = 36z + -36z + -8z2 + 8z2 Combine like terms: 36z + -36z = 0 42 + -11i + 6iz + -36z + 8z2 = 0 + -8z2 + 8z2 42 + -11i + 6iz + -36z + 8z2 = -8z2 + 8z2 Combine like terms: -8z2 + 8z2 = 0 42 + -11i + 6iz + -36z + 8z2 = 0 The solution to this equation could not be determined.
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