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