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Simplifying -4j2 + 3j + -28 = 0 Reorder the terms: -28 + 3j + -4j2 = 0 Solving -28 + 3j + -4j2 = 0 Solving for variable 'j'. Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 7 + -0.75j + j2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.75j + -7 + j2 = 0 + -7 Reorder the terms: 7 + -7 + -0.75j + j2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.75j + j2 = 0 + -7 -0.75j + j2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.75j + j2 = -7 The j term is -0.75j. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75j + 0.140625 + j2 = -7 + 0.140625 Reorder the terms: 0.140625 + -0.75j + j2 = -7 + 0.140625 Combine like terms: -7 + 0.140625 = -6.859375 0.140625 + -0.75j + j2 = -6.859375 Factor a perfect square on the left side: (j + -0.375)(j + -0.375) = -6.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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