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Simplifying 4z(z + -2) = 4z2 + 6iz + 2 + -3i Reorder the terms: 4z(-2 + z) = 4z2 + 6iz + 2 + -3i (-2 * 4z + z * 4z) = 4z2 + 6iz + 2 + -3i (-8z + 4z2) = 4z2 + 6iz + 2 + -3i Reorder the terms: -8z + 4z2 = 2 + -3i + 6iz + 4z2 Add '-4z2' to each side of the equation. -8z + 4z2 + -4z2 = 2 + -3i + 6iz + 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 -8z + 0 = 2 + -3i + 6iz + 4z2 + -4z2 -8z = 2 + -3i + 6iz + 4z2 + -4z2 Combine like terms: 4z2 + -4z2 = 0 -8z = 2 + -3i + 6iz + 0 -8z = 2 + -3i + 6iz Solving -8z = 2 + -3i + 6iz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6iz' to each side of the equation. -6iz + -8z = 2 + -3i + 6iz + -6iz Combine like terms: 6iz + -6iz = 0 -6iz + -8z = 2 + -3i + 0 -6iz + -8z = 2 + -3i Reorder the terms: -2 + 3i + -6iz + -8z = 2 + -3i + -2 + 3i Reorder the terms: -2 + 3i + -6iz + -8z = 2 + -2 + -3i + 3i Combine like terms: 2 + -2 = 0 -2 + 3i + -6iz + -8z = 0 + -3i + 3i -2 + 3i + -6iz + -8z = -3i + 3i Combine like terms: -3i + 3i = 0 -2 + 3i + -6iz + -8z = 0 The solution to this equation could not be determined.
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