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Simplifying 8i2 + -25i + 28 = 0 Reorder the terms: 28 + -25i + 8i2 = 0 Solving 28 + -25i + 8i2 = 0 Solving for variable 'i'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 3.5 + -3.125i + i2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -3.125i + -3.5 + i2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -3.125i + i2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -3.125i + i2 = 0 + -3.5 -3.125i + i2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -3.125i + i2 = -3.5 The i term is -3.125i. Take half its coefficient (-1.5625). Square it (2.44140625) and add it to both sides. Add '2.44140625' to each side of the equation. -3.125i + 2.44140625 + i2 = -3.5 + 2.44140625 Reorder the terms: 2.44140625 + -3.125i + i2 = -3.5 + 2.44140625 Combine like terms: -3.5 + 2.44140625 = -1.05859375 2.44140625 + -3.125i + i2 = -1.05859375 Factor a perfect square on the left side: (i + -1.5625)(i + -1.5625) = -1.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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