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Simplifying 2(x + -4i)(x + 4i) = 0 Reorder the terms: 2(-4i + x)(x + 4i) = 0 Reorder the terms: 2(-4i + x)(4i + x) = 0 Multiply (-4i + x) * (4i + x) 2(-4i * (4i + x) + x(4i + x)) = 0 2((4i * -4i + x * -4i) + x(4i + x)) = 0 Reorder the terms: 2((-4ix + -16i2) + x(4i + x)) = 0 2((-4ix + -16i2) + x(4i + x)) = 0 2(-4ix + -16i2 + (4i * x + x * x)) = 0 2(-4ix + -16i2 + (4ix + x2)) = 0 Reorder the terms: 2(-4ix + 4ix + -16i2 + x2) = 0 Combine like terms: -4ix + 4ix = 0 2(0 + -16i2 + x2) = 0 2(-16i2 + x2) = 0 (-16i2 * 2 + x2 * 2) = 0 (-32i2 + 2x2) = 0 Solving -32i2 + 2x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2x2' to each side of the equation. -32i2 + 2x2 + -2x2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -32i2 + 0 = 0 + -2x2 -32i2 = 0 + -2x2 Remove the zero: -32i2 = -2x2 Divide each side by '-32'. i2 = 0.0625x2 Simplifying i2 = 0.0625x2 Take the square root of each side: i = {-0.25x, 0.25x}
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