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Simplifying (8i)(3i) + -8 = 0 Remove parenthesis around (8i) 8i(3i) + -8 = 0 Remove parenthesis around (3i) 8i * 3i + -8 = 0 Reorder the terms for easier multiplication: 8 * 3i * i + -8 = 0 Multiply 8 * 3 24i * i + -8 = 0 Multiply i * i 24i2 + -8 = 0 Reorder the terms: -8 + 24i2 = 0 Solving -8 + 24i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 24i2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 24i2 = 0 + 8 24i2 = 0 + 8 Combine like terms: 0 + 8 = 8 24i2 = 8 Divide each side by '24'. i2 = 0.3333333333 Simplifying i2 = 0.3333333333 Take the square root of each side: i = {-0.577350269, 0.577350269}
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