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Simplifying 16(j + 1)(j + -1) = 0 Reorder the terms: 16(1 + j)(j + -1) = 0 Reorder the terms: 16(1 + j)(-1 + j) = 0 Multiply (1 + j) * (-1 + j) 16(1(-1 + j) + j(-1 + j)) = 0 16((-1 * 1 + j * 1) + j(-1 + j)) = 0 16((-1 + 1j) + j(-1 + j)) = 0 16(-1 + 1j + (-1 * j + j * j)) = 0 16(-1 + 1j + (-1j + j2)) = 0 Combine like terms: 1j + -1j = 0 16(-1 + 0 + j2) = 0 16(-1 + j2) = 0 (-1 * 16 + j2 * 16) = 0 (-16 + 16j2) = 0 Solving -16 + 16j2 = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16j2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16j2 = 0 + 16 16j2 = 0 + 16 Combine like terms: 0 + 16 = 16 16j2 = 16 Divide each side by '16'. j2 = 1 Simplifying j2 = 1 Take the square root of each side: j = {-1, 1}
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