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Simplifying 2z2 + -3z + -1iz = -1 + -7i Reorder the terms: -1iz + -3z + 2z2 = -1 + -7i Solving -1iz + -3z + 2z2 = -1 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. -1iz + -3z + 7i + 2z2 = -1 + -7i + 7i Reorder the terms: 7i + -1iz + -3z + 2z2 = -1 + -7i + 7i Combine like terms: -7i + 7i = 0 7i + -1iz + -3z + 2z2 = -1 + 0 7i + -1iz + -3z + 2z2 = -1 Add '3z' to each side of the equation. 7i + -1iz + -3z + 3z + 2z2 = -1 + 3z Combine like terms: -3z + 3z = 0 7i + -1iz + 0 + 2z2 = -1 + 3z 7i + -1iz + 2z2 = -1 + 3z Add '-2z2' to each side of the equation. 7i + -1iz + 2z2 + -2z2 = -1 + 3z + -2z2 Combine like terms: 2z2 + -2z2 = 0 7i + -1iz + 0 = -1 + 3z + -2z2 7i + -1iz = -1 + 3z + -2z2 Reorder the terms: 1 + 7i + -1iz + -3z + 2z2 = -1 + 3z + -2z2 + 1 + -3z + 2z2 Reorder the terms: 1 + 7i + -1iz + -3z + 2z2 = -1 + 1 + 3z + -3z + -2z2 + 2z2 Combine like terms: -1 + 1 = 0 1 + 7i + -1iz + -3z + 2z2 = 0 + 3z + -3z + -2z2 + 2z2 1 + 7i + -1iz + -3z + 2z2 = 3z + -3z + -2z2 + 2z2 Combine like terms: 3z + -3z = 0 1 + 7i + -1iz + -3z + 2z2 = 0 + -2z2 + 2z2 1 + 7i + -1iz + -3z + 2z2 = -2z2 + 2z2 Combine like terms: -2z2 + 2z2 = 0 1 + 7i + -1iz + -3z + 2z2 = 0 The solution to this equation could not be determined.
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