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Simplifying (2 + j)(-5 + -1j) = -9 + -7j Multiply (2 + j) * (-5 + -1j) (2(-5 + -1j) + j(-5 + -1j)) = -9 + -7j ((-5 * 2 + -1j * 2) + j(-5 + -1j)) = -9 + -7j ((-10 + -2j) + j(-5 + -1j)) = -9 + -7j (-10 + -2j + (-5 * j + -1j * j)) = -9 + -7j (-10 + -2j + (-5j + -1j2)) = -9 + -7j Combine like terms: -2j + -5j = -7j (-10 + -7j + -1j2) = -9 + -7j Add '7j' to each side of the equation. -10 + -7j + 7j + -1j2 = -9 + -7j + 7j Combine like terms: -7j + 7j = 0 -10 + 0 + -1j2 = -9 + -7j + 7j -10 + -1j2 = -9 + -7j + 7j Combine like terms: -7j + 7j = 0 -10 + -1j2 = -9 + 0 -10 + -1j2 = -9 Solving -10 + -1j2 = -9 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1j2 = -9 + 10 Combine like terms: -10 + 10 = 0 0 + -1j2 = -9 + 10 -1j2 = -9 + 10 Combine like terms: -9 + 10 = 1 -1j2 = 1 Divide each side by '-1'. j2 = -1 Simplifying j2 = -1 Reorder the terms: 1 + j2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + j2 = 0 The solution to this equation could not be determined.
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