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Simplifying factorz3 + -2(1 + i) * z2 + -2(1 + -2i) * z + 4 = 0 Reorder the terms for easier multiplication: acfortz3 + -2z2(1 + i) + -2(1 + -2i) * z + 4 = 0 acfortz3 + (1 * -2z2 + i * -2z2) + -2(1 + -2i) * z + 4 = 0 Reorder the terms: acfortz3 + (-2iz2 + -2z2) + -2(1 + -2i) * z + 4 = 0 acfortz3 + (-2iz2 + -2z2) + -2(1 + -2i) * z + 4 = 0 Reorder the terms for easier multiplication: acfortz3 + -2iz2 + -2z2 + -2z(1 + -2i) + 4 = 0 acfortz3 + -2iz2 + -2z2 + (1 * -2z + -2i * -2z) + 4 = 0 Reorder the terms: acfortz3 + -2iz2 + -2z2 + (4iz + -2z) + 4 = 0 acfortz3 + -2iz2 + -2z2 + (4iz + -2z) + 4 = 0 Reorder the terms: 4 + acfortz3 + 4iz + -2iz2 + -2z + -2z2 = 0 Solving 4 + acfortz3 + 4iz + -2iz2 + -2z + -2z2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + acfortz3 + 4iz + -2iz2 + -2z + -4 + -2z2 = 0 + -4 Reorder the terms: 4 + -4 + acfortz3 + 4iz + -2iz2 + -2z + -2z2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + acfortz3 + 4iz + -2iz2 + -2z + -2z2 = 0 + -4 acfortz3 + 4iz + -2iz2 + -2z + -2z2 = 0 + -4 Combine like terms: 0 + -4 = -4 acfortz3 + 4iz + -2iz2 + -2z + -2z2 = -4 Add '-4iz' to each side of the equation. acfortz3 + 4iz + -2iz2 + -2z + -4iz + -2z2 = -4 + -4iz Reorder the terms: acfortz3 + 4iz + -4iz + -2iz2 + -2z + -2z2 = -4 + -4iz Combine like terms: 4iz + -4iz = 0 acfortz3 + 0 + -2iz2 + -2z + -2z2 = -4 + -4iz acfortz3 + -2iz2 + -2z + -2z2 = -4 + -4iz Add '2iz2' to each side of the equation. acfortz3 + -2iz2 + -2z + 2iz2 + -2z2 = -4 + -4iz + 2iz2 Reorder the terms: acfortz3 + -2iz2 + 2iz2 + -2z + -2z2 = -4 + -4iz + 2iz2 Combine like terms: -2iz2 + 2iz2 = 0 acfortz3 + 0 + -2z + -2z2 = -4 + -4iz + 2iz2 acfortz3 + -2z + -2z2 = -4 + -4iz + 2iz2 Add '2z' to each side of the equation. acfortz3 + -2z + 2z + -2z2 = -4 + -4iz + 2iz2 + 2z Combine like terms: -2z + 2z = 0 acfortz3 + 0 + -2z2 = -4 + -4iz + 2iz2 + 2z acfortz3 + -2z2 = -4 + -4iz + 2iz2 + 2z Add '2z2' to each side of the equation. acfortz3 + -2z2 + 2z2 = -4 + -4iz + 2iz2 + 2z + 2z2 Combine like terms: -2z2 + 2z2 = 0 acfortz3 + 0 = -4 + -4iz + 2iz2 + 2z + 2z2 acfortz3 = -4 + -4iz + 2iz2 + 2z + 2z2 Divide each side by 'cfortz3'. a = -4c-1f-1o-1r-1t-1z-3 + -4c-1f-1io-1r-1t-1z-2 + 2c-1f-1io-1r-1t-1z-1 + 2c-1f-1o-1r-1t-1z-2 + 2c-1f-1o-1r-1t-1z-1 Simplifying a = -4c-1f-1o-1r-1t-1z-3 + -4c-1f-1io-1r-1t-1z-2 + 2c-1f-1io-1r-1t-1z-1 + 2c-1f-1o-1r-1t-1z-2 + 2c-1f-1o-1r-1t-1z-1 Reorder the terms: a = -4c-1f-1io-1r-1t-1z-2 + 2c-1f-1io-1r-1t-1z-1 + -4c-1f-1o-1r-1t-1z-3 + 2c-1f-1o-1r-1t-1z-2 + 2c-1f-1o-1r-1t-1z-1
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