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Simplifying 7j2 + -7j + 5 = 0 Reorder the terms: 5 + -7j + 7j2 = 0 Solving 5 + -7j + 7j2 = 0 Solving for variable 'j'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.7142857143 + -1j + j2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -1j + -0.7142857143 + j2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -1j + j2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -1j + j2 = 0 + -0.7142857143 -1j + j2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -1j + j2 = -0.7142857143 The j term is -1j. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1j + 0.25 + j2 = -0.7142857143 + 0.25 Reorder the terms: 0.25 + -1j + j2 = -0.7142857143 + 0.25 Combine like terms: -0.7142857143 + 0.25 = -0.4642857143 0.25 + -1j + j2 = -0.4642857143 Factor a perfect square on the left side: (j + -0.5)(j + -0.5) = -0.4642857143 Can't calculate square root of the right side. The solution to this equation could not be determined.
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