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Simplifying 0 = (6 + -3i)(4 + 2i) Multiply (6 + -3i) * (4 + 2i) 0 = (6(4 + 2i) + -3i * (4 + 2i)) 0 = ((4 * 6 + 2i * 6) + -3i * (4 + 2i)) 0 = ((24 + 12i) + -3i * (4 + 2i)) 0 = (24 + 12i + (4 * -3i + 2i * -3i)) 0 = (24 + 12i + (-12i + -6i2)) Combine like terms: 12i + -12i = 0 0 = (24 + 0 + -6i2) 0 = (24 + -6i2) Solving 0 = 24 + -6i2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6i2' to each side of the equation. 0 + 6i2 = 24 + -6i2 + 6i2 Remove the zero: 6i2 = 24 + -6i2 + 6i2 Combine like terms: -6i2 + 6i2 = 0 6i2 = 24 + 0 6i2 = 24 Divide each side by '6'. i2 = 4 Simplifying i2 = 4 Take the square root of each side: i = {-2, 2}
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