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Simplifying 6i(-4i) + 8 = 0 Remove parenthesis around (-4i) 6i * -4i + 8 = 0 Reorder the terms for easier multiplication: 6 * -4i * i + 8 = 0 Multiply 6 * -4 -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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