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Simplifying Z3 + 6z2 + 12z + 8 + -3i = o Reorder the terms: 8 + Z3 + -3i + 12z + 6z2 = o Solving 8 + Z3 + -3i + 12z + 6z2 = o Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + Z3 + -3i + 12z + -8 + 6z2 = -8 + o Reorder the terms: 8 + -8 + Z3 + -3i + 12z + 6z2 = -8 + o Combine like terms: 8 + -8 = 0 0 + Z3 + -3i + 12z + 6z2 = -8 + o Z3 + -3i + 12z + 6z2 = -8 + o Add '3i' to each side of the equation. Z3 + -3i + 12z + 3i + 6z2 = -8 + 3i + o Reorder the terms: Z3 + -3i + 3i + 12z + 6z2 = -8 + 3i + o Combine like terms: -3i + 3i = 0 Z3 + 0 + 12z + 6z2 = -8 + 3i + o Z3 + 12z + 6z2 = -8 + 3i + o Add '-12z' to each side of the equation. Z3 + 12z + -12z + 6z2 = -8 + 3i + o + -12z Combine like terms: 12z + -12z = 0 Z3 + 0 + 6z2 = -8 + 3i + o + -12z Z3 + 6z2 = -8 + 3i + o + -12z Add '-6z2' to each side of the equation. Z3 + 6z2 + -6z2 = -8 + 3i + o + -12z + -6z2 Combine like terms: 6z2 + -6z2 = 0 Z3 + 0 = -8 + 3i + o + -12z + -6z2 Z3 = -8 + 3i + o + -12z + -6z2 Simplifying Z3 = -8 + 3i + o + -12z + -6z2 Reorder the terms: 8 + Z3 + -3i + -1o + 12z + 6z2 = -8 + 3i + o + -12z + -6z2 + 8 + -3i + -1o + 12z + 6z2 Reorder the terms: 8 + Z3 + -3i + -1o + 12z + 6z2 = -8 + 8 + 3i + -3i + o + -1o + -12z + 12z + -6z2 + 6z2 Combine like terms: -8 + 8 = 0 8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + 3i + -3i + o + -1o + -12z + 12z + -6z2 + 6z2 8 + Z3 + -3i + -1o + 12z + 6z2 = 3i + -3i + o + -1o + -12z + 12z + -6z2 + 6z2 Combine like terms: 3i + -3i = 0 8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + o + -1o + -12z + 12z + -6z2 + 6z2 8 + Z3 + -3i + -1o + 12z + 6z2 = o + -1o + -12z + 12z + -6z2 + 6z2 Combine like terms: o + -1o = 0 8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + -12z + 12z + -6z2 + 6z2 8 + Z3 + -3i + -1o + 12z + 6z2 = -12z + 12z + -6z2 + 6z2 Combine like terms: -12z + 12z = 0 8 + Z3 + -3i + -1o + 12z + 6z2 = 0 + -6z2 + 6z2 8 + Z3 + -3i + -1o + 12z + 6z2 = -6z2 + 6z2 Combine like terms: -6z2 + 6z2 = 0 8 + Z3 + -3i + -1o + 12z + 6z2 = 0 The solution to this equation could not be determined.
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