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Simplifying (4 + 5i)(4 + -5i) = x Multiply (4 + 5i) * (4 + -5i) (4(4 + -5i) + 5i * (4 + -5i)) = x ((4 * 4 + -5i * 4) + 5i * (4 + -5i)) = x ((16 + -20i) + 5i * (4 + -5i)) = x (16 + -20i + (4 * 5i + -5i * 5i)) = x (16 + -20i + (20i + -25i2)) = x Combine like terms: -20i + 20i = 0 (16 + 0 + -25i2) = x (16 + -25i2) = x Solving 16 + -25i2 = x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -25i2 = -16 + x Combine like terms: 16 + -16 = 0 0 + -25i2 = -16 + x -25i2 = -16 + x Divide each side by '-25'. i2 = 0.64 + -0.04x Simplifying i2 = 0.64 + -0.04x Reorder the terms: -0.64 + i2 + 0.04x = 0.64 + -0.04x + -0.64 + 0.04x Reorder the terms: -0.64 + i2 + 0.04x = 0.64 + -0.64 + -0.04x + 0.04x Combine like terms: 0.64 + -0.64 = 0.00 -0.64 + i2 + 0.04x = 0.00 + -0.04x + 0.04x -0.64 + i2 + 0.04x = -0.04x + 0.04x Combine like terms: -0.04x + 0.04x = 0.00 -0.64 + i2 + 0.04x = 0.00 The solution to this equation could not be determined.
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