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Simplifying z2 + -2(1 + sqrt(-1)) * z + -2 = 0 Reorder the terms for easier multiplication: z2 + -2(1 + -1qrst) * z + -2 = 0 Reorder the terms for easier multiplication: z2 + -2z(1 + -1qrst) + -2 = 0 z2 + (1 * -2z + -1qrst * -2z) + -2 = 0 Reorder the terms: z2 + (2qrstz + -2z) + -2 = 0 z2 + (2qrstz + -2z) + -2 = 0 Reorder the terms: -2 + 2qrstz + -2z + z2 = 0 Solving -2 + 2qrstz + -2z + z2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2qrstz + -2z + 2 + z2 = 0 + 2 Reorder the terms: -2 + 2 + 2qrstz + -2z + z2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2qrstz + -2z + z2 = 0 + 2 2qrstz + -2z + z2 = 0 + 2 Combine like terms: 0 + 2 = 2 2qrstz + -2z + z2 = 2 Add '2z' to each side of the equation. 2qrstz + -2z + 2z + z2 = 2 + 2z Combine like terms: -2z + 2z = 0 2qrstz + 0 + z2 = 2 + 2z 2qrstz + z2 = 2 + 2z Add '-1z2' to each side of the equation. 2qrstz + z2 + -1z2 = 2 + 2z + -1z2 Combine like terms: z2 + -1z2 = 0 2qrstz + 0 = 2 + 2z + -1z2 2qrstz = 2 + 2z + -1z2 Divide each side by '2rstz'. q = r-1s-1t-1z-1 + r-1s-1t-1 + -0.5r-1s-1t-1z Simplifying q = r-1s-1t-1z-1 + r-1s-1t-1 + -0.5r-1s-1t-1z Reorder the terms: q = r-1s-1t-1 + r-1s-1t-1z-1 + -0.5r-1s-1t-1z
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