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Simplifying j2 + 3j + 154 = 0 Reorder the terms: 154 + 3j + j2 = 0 Solving 154 + 3j + j2 = 0 Solving for variable 'j'. Begin completing the square. Move the constant term to the right: Add '-154' to each side of the equation. 154 + 3j + -154 + j2 = 0 + -154 Reorder the terms: 154 + -154 + 3j + j2 = 0 + -154 Combine like terms: 154 + -154 = 0 0 + 3j + j2 = 0 + -154 3j + j2 = 0 + -154 Combine like terms: 0 + -154 = -154 3j + j2 = -154 The j term is 3j. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3j + 2.25 + j2 = -154 + 2.25 Reorder the terms: 2.25 + 3j + j2 = -154 + 2.25 Combine like terms: -154 + 2.25 = -151.75 2.25 + 3j + j2 = -151.75 Factor a perfect square on the left side: (j + 1.5)(j + 1.5) = -151.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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