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Simplifying 2i(9 + -7i) = 3 + 6i (9 * 2i + -7i * 2i) = 3 + 6i (18i + -14i2) = 3 + 6i Solving 18i + -14i2 = 3 + 6i Solving for variable 'i'. Reorder the terms: -3 + 18i + -6i + -14i2 = 3 + 6i + -3 + -6i Combine like terms: 18i + -6i = 12i -3 + 12i + -14i2 = 3 + 6i + -3 + -6i Reorder the terms: -3 + 12i + -14i2 = 3 + -3 + 6i + -6i Combine like terms: 3 + -3 = 0 -3 + 12i + -14i2 = 0 + 6i + -6i -3 + 12i + -14i2 = 6i + -6i Combine like terms: 6i + -6i = 0 -3 + 12i + -14i2 = 0 Begin completing the square. Divide all terms by -14 the coefficient of the squared term: Divide each side by '-14'. 0.2142857143 + -0.8571428571i + i2 = 0 Move the constant term to the right: Add '-0.2142857143' to each side of the equation. 0.2142857143 + -0.8571428571i + -0.2142857143 + i2 = 0 + -0.2142857143 Reorder the terms: 0.2142857143 + -0.2142857143 + -0.8571428571i + i2 = 0 + -0.2142857143 Combine like terms: 0.2142857143 + -0.2142857143 = 0.0000000000 0.0000000000 + -0.8571428571i + i2 = 0 + -0.2142857143 -0.8571428571i + i2 = 0 + -0.2142857143 Combine like terms: 0 + -0.2142857143 = -0.2142857143 -0.8571428571i + i2 = -0.2142857143 The i term is -0.8571428571i. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571i + 0.1836734694 + i2 = -0.2142857143 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571i + i2 = -0.2142857143 + 0.1836734694 Combine like terms: -0.2142857143 + 0.1836734694 = -0.0306122449 0.1836734694 + -0.8571428571i + i2 = -0.0306122449 Factor a perfect square on the left side: (i + -0.4285714286)(i + -0.4285714286) = -0.0306122449 Can't calculate square root of the right side. The solution to this equation could not be determined.
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