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Simplifying 2(2x + -1i) * 4x + -6x = 0 Reorder the terms: 2(-1i + 2x) * 4x + -6x = 0 Reorder the terms for easier multiplication: 2 * 4x(-1i + 2x) + -6x = 0 Multiply 2 * 4 8x(-1i + 2x) + -6x = 0 (-1i * 8x + 2x * 8x) + -6x = 0 (-8ix + 16x2) + -6x = 0 Reorder the terms: -8ix + -6x + 16x2 = 0 Solving -8ix + -6x + 16x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6x' to each side of the equation. -8ix + -6x + 6x + 16x2 = 0 + 6x Combine like terms: -6x + 6x = 0 -8ix + 0 + 16x2 = 0 + 6x -8ix + 16x2 = 0 + 6x Remove the zero: -8ix + 16x2 = 6x Add '-16x2' to each side of the equation. -8ix + 16x2 + -16x2 = 6x + -16x2 Combine like terms: 16x2 + -16x2 = 0 -8ix + 0 = 6x + -16x2 -8ix = 6x + -16x2 Divide each side by '-8x'. i = -0.75 + 2x Simplifying i = -0.75 + 2x
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