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Simplifying 3x2 + 4x + -5i * x + 4 = 6 Multiply i * x 3x2 + 4x + -5ix + 4 = 6 Reorder the terms: 4 + -5ix + 4x + 3x2 = 6 Solving 4 + -5ix + 4x + 3x2 = 6 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -5ix + 4x + -4 + 3x2 = 6 + -4 Reorder the terms: 4 + -4 + -5ix + 4x + 3x2 = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -5ix + 4x + 3x2 = 6 + -4 -5ix + 4x + 3x2 = 6 + -4 Combine like terms: 6 + -4 = 2 -5ix + 4x + 3x2 = 2 Add '-4x' to each side of the equation. -5ix + 4x + -4x + 3x2 = 2 + -4x Combine like terms: 4x + -4x = 0 -5ix + 0 + 3x2 = 2 + -4x -5ix + 3x2 = 2 + -4x Add '-3x2' to each side of the equation. -5ix + 3x2 + -3x2 = 2 + -4x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -5ix + 0 = 2 + -4x + -3x2 -5ix = 2 + -4x + -3x2 Divide each side by '-5x'. i = -0.4x-1 + 0.8 + 0.6x Simplifying i = -0.4x-1 + 0.8 + 0.6x Reorder the terms: i = 0.8 + -0.4x-1 + 0.6x
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