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Simplifying x(2 + -1x)(2 + x) + -1(-1X + -2) = 0 Multiply (2 + -1x) * (2 + x) x(2(2 + x) + -1x * (2 + x)) + -1(-1X + -2) = 0 x((2 * 2 + x * 2) + -1x * (2 + x)) + -1(-1X + -2) = 0 x((4 + 2x) + -1x * (2 + x)) + -1(-1X + -2) = 0 x(4 + 2x + (2 * -1x + x * -1x)) + -1(-1X + -2) = 0 x(4 + 2x + (-2x + -1x2)) + -1(-1X + -2) = 0 Combine like terms: 2x + -2x = 0 x(4 + 0 + -1x2) + -1(-1X + -2) = 0 x(4 + -1x2) + -1(-1X + -2) = 0 (4 * x + -1x2 * x) + -1(-1X + -2) = 0 (4x + -1x3) + -1(-1X + -2) = 0 Reorder the terms: 4x + -1x3 + -1(-2 + -1X) = 0 4x + -1x3 + (-2 * -1 + -1X * -1) = 0 4x + -1x3 + (2 + 1X) = 0 Reorder the terms: 2 + 1X + 4x + -1x3 = 0 Solving 2 + 1X + 4x + -1x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 1X + 4x + -2 + -1x3 = 0 + -2 Reorder the terms: 2 + -2 + 1X + 4x + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1X + 4x + -1x3 = 0 + -2 1X + 4x + -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 1X + 4x + -1x3 = -2 Add '-4x' to each side of the equation. 1X + 4x + -4x + -1x3 = -2 + -4x Combine like terms: 4x + -4x = 0 1X + 0 + -1x3 = -2 + -4x 1X + -1x3 = -2 + -4x Add 'x3' to each side of the equation. 1X + -1x3 + x3 = -2 + -4x + x3 Combine like terms: -1x3 + x3 = 0 1X + 0 = -2 + -4x + x3 1X = -2 + -4x + x3 Divide each side by '1'. X = -2 + -4x + x3 Simplifying X = -2 + -4x + x3
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