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Simplifying (9 + i) + -6i(7 + -12i) = 0 Remove parenthesis around (9 + i) 9 + i + -6i(7 + -12i) = 0 9 + i + (7 * -6i + -12i * -6i) = 0 9 + i + (-42i + 72i2) = 0 Combine like terms: i + -42i = -41i 9 + -41i + 72i2 = 0 Solving 9 + -41i + 72i2 = 0 Solving for variable 'i'. Begin completing the square. Divide all terms by 72 the coefficient of the squared term: Divide each side by '72'. 0.125 + -0.5694444444i + i2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + -0.5694444444i + -0.125 + i2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + -0.5694444444i + i2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.5694444444i + i2 = 0 + -0.125 -0.5694444444i + i2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 -0.5694444444i + i2 = -0.125 The i term is -0.5694444444i. Take half its coefficient (-0.2847222222). Square it (0.08106674381) and add it to both sides. Add '0.08106674381' to each side of the equation. -0.5694444444i + 0.08106674381 + i2 = -0.125 + 0.08106674381 Reorder the terms: 0.08106674381 + -0.5694444444i + i2 = -0.125 + 0.08106674381 Combine like terms: -0.125 + 0.08106674381 = -0.04393325619 0.08106674381 + -0.5694444444i + i2 = -0.04393325619 Factor a perfect square on the left side: (i + -0.2847222222)(i + -0.2847222222) = -0.04393325619 Can't calculate square root of the right side. The solution to this equation could not be determined.
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