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Simplifying 7 + 8i(3 + 6i) = 0 7 + (3 * 8i + 6i * 8i) = 0 7 + (24i + 48i2) = 0 Solving 7 + 24i + 48i2 = 0 Solving for variable 'i'. Begin completing the square. Divide all terms by 48 the coefficient of the squared term: Divide each side by '48'. 0.1458333333 + 0.5i + i2 = 0 Move the constant term to the right: Add '-0.1458333333' to each side of the equation. 0.1458333333 + 0.5i + -0.1458333333 + i2 = 0 + -0.1458333333 Reorder the terms: 0.1458333333 + -0.1458333333 + 0.5i + i2 = 0 + -0.1458333333 Combine like terms: 0.1458333333 + -0.1458333333 = 0.0000000000 0.0000000000 + 0.5i + i2 = 0 + -0.1458333333 0.5i + i2 = 0 + -0.1458333333 Combine like terms: 0 + -0.1458333333 = -0.1458333333 0.5i + i2 = -0.1458333333 The i term is 0.5i. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5i + 0.0625 + i2 = -0.1458333333 + 0.0625 Reorder the terms: 0.0625 + 0.5i + i2 = -0.1458333333 + 0.0625 Combine like terms: -0.1458333333 + 0.0625 = -0.0833333333 0.0625 + 0.5i + i2 = -0.0833333333 Factor a perfect square on the left side: (i + 0.25)(i + 0.25) = -0.0833333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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