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Simplifying (2 + -7j)(2 + 7j) = 0 Multiply (2 + -7j) * (2 + 7j) (2(2 + 7j) + -7j * (2 + 7j)) = 0 ((2 * 2 + 7j * 2) + -7j * (2 + 7j)) = 0 ((4 + 14j) + -7j * (2 + 7j)) = 0 (4 + 14j + (2 * -7j + 7j * -7j)) = 0 (4 + 14j + (-14j + -49j2)) = 0 Combine like terms: 14j + -14j = 0 (4 + 0 + -49j2) = 0 (4 + -49j2) = 0 Solving 4 + -49j2 = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -49j2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -49j2 = 0 + -4 -49j2 = 0 + -4 Combine like terms: 0 + -4 = -4 -49j2 = -4 Divide each side by '-49'. j2 = 0.08163265306 Simplifying j2 = 0.08163265306 Take the square root of each side: j = {-0.285714286, 0.285714286}
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