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Simplifying (-4 + -5j)(3 + -2j) = -22 + -7j Multiply (-4 + -5j) * (3 + -2j) (-4(3 + -2j) + -5j * (3 + -2j)) = -22 + -7j ((3 * -4 + -2j * -4) + -5j * (3 + -2j)) = -22 + -7j ((-12 + 8j) + -5j * (3 + -2j)) = -22 + -7j (-12 + 8j + (3 * -5j + -2j * -5j)) = -22 + -7j (-12 + 8j + (-15j + 10j2)) = -22 + -7j Combine like terms: 8j + -15j = -7j (-12 + -7j + 10j2) = -22 + -7j Add '7j' to each side of the equation. -12 + -7j + 7j + 10j2 = -22 + -7j + 7j Combine like terms: -7j + 7j = 0 -12 + 0 + 10j2 = -22 + -7j + 7j -12 + 10j2 = -22 + -7j + 7j Combine like terms: -7j + 7j = 0 -12 + 10j2 = -22 + 0 -12 + 10j2 = -22 Solving -12 + 10j2 = -22 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10j2 = -22 + 12 Combine like terms: -12 + 12 = 0 0 + 10j2 = -22 + 12 10j2 = -22 + 12 Combine like terms: -22 + 12 = -10 10j2 = -10 Divide each side by '10'. 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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