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Simplifying j2 + 22j + 212 = 0 Reorder the terms: 212 + 22j + j2 = 0 Solving 212 + 22j + j2 = 0 Solving for variable 'j'. Begin completing the square. Move the constant term to the right: Add '-212' to each side of the equation. 212 + 22j + -212 + j2 = 0 + -212 Reorder the terms: 212 + -212 + 22j + j2 = 0 + -212 Combine like terms: 212 + -212 = 0 0 + 22j + j2 = 0 + -212 22j + j2 = 0 + -212 Combine like terms: 0 + -212 = -212 22j + j2 = -212 The j term is 22j. Take half its coefficient (11). Square it (121) and add it to both sides. Add '121' to each side of the equation. 22j + 121 + j2 = -212 + 121 Reorder the terms: 121 + 22j + j2 = -212 + 121 Combine like terms: -212 + 121 = -91 121 + 22j + j2 = -91 Factor a perfect square on the left side: (j + 11)(j + 11) = -91 Can't calculate square root of the right side. The solution to this equation could not be determined.
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