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Simplifying (X + -2)(x + -2) + -1(x + -2)(x + 2) = 4 + -1x Reorder the terms: (-2 + X)(x + -2) + -1(x + -2)(x + 2) = 4 + -1x Reorder the terms: (-2 + X)(-2 + x) + -1(x + -2)(x + 2) = 4 + -1x Multiply (-2 + X) * (-2 + x) (-2(-2 + x) + X(-2 + x)) + -1(x + -2)(x + 2) = 4 + -1x ((-2 * -2 + x * -2) + X(-2 + x)) + -1(x + -2)(x + 2) = 4 + -1x ((4 + -2x) + X(-2 + x)) + -1(x + -2)(x + 2) = 4 + -1x (4 + -2x + (-2 * X + x * X)) + -1(x + -2)(x + 2) = 4 + -1x (4 + -2x + (-2X + xX)) + -1(x + -2)(x + 2) = 4 + -1x Reorder the terms: (4 + -2X + -2x + xX) + -1(x + -2)(x + 2) = 4 + -1x (4 + -2X + -2x + xX) + -1(x + -2)(x + 2) = 4 + -1x Reorder the terms: 4 + -2X + -2x + xX + -1(-2 + x)(x + 2) = 4 + -1x Reorder the terms: 4 + -2X + -2x + xX + -1(-2 + x)(2 + x) = 4 + -1x Multiply (-2 + x) * (2 + x) 4 + -2X + -2x + xX + -1(-2(2 + x) + x(2 + x)) = 4 + -1x 4 + -2X + -2x + xX + -1((2 * -2 + x * -2) + x(2 + x)) = 4 + -1x 4 + -2X + -2x + xX + -1((-4 + -2x) + x(2 + x)) = 4 + -1x 4 + -2X + -2x + xX + -1(-4 + -2x + (2 * x + x * x)) = 4 + -1x 4 + -2X + -2x + xX + -1(-4 + -2x + (2x + x2)) = 4 + -1x Combine like terms: -2x + 2x = 0 4 + -2X + -2x + xX + -1(-4 + 0 + x2) = 4 + -1x 4 + -2X + -2x + xX + -1(-4 + x2) = 4 + -1x 4 + -2X + -2x + xX + (-4 * -1 + x2 * -1) = 4 + -1x 4 + -2X + -2x + xX + (4 + -1x2) = 4 + -1x Reorder the terms: 4 + 4 + -2X + -2x + xX + -1x2 = 4 + -1x Combine like terms: 4 + 4 = 8 8 + -2X + -2x + xX + -1x2 = 4 + -1x Solving 8 + -2X + -2x + xX + -1x2 = 4 + -1x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2X + -2x + xX + -8 + -1x2 = 4 + -8 + -1x Reorder the terms: 8 + -8 + -2X + -2x + xX + -1x2 = 4 + -8 + -1x Combine like terms: 8 + -8 = 0 0 + -2X + -2x + xX + -1x2 = 4 + -8 + -1x -2X + -2x + xX + -1x2 = 4 + -8 + -1x Combine like terms: 4 + -8 = -4 -2X + -2x + xX + -1x2 = -4 + -1x Add '2x' to each side of the equation. -2X + -2x + xX + 2x + -1x2 = -4 + -1x + 2x Reorder the terms: -2X + -2x + 2x + xX + -1x2 = -4 + -1x + 2x Combine like terms: -2x + 2x = 0 -2X + 0 + xX + -1x2 = -4 + -1x + 2x -2X + xX + -1x2 = -4 + -1x + 2x Combine like terms: -1x + 2x = 1x -2X + xX + -1x2 = -4 + 1x Add 'x2' to each side of the equation. -2X + xX + -1x2 + x2 = -4 + 1x + x2 Combine like terms: -1x2 + x2 = 0 -2X + xX + 0 = -4 + 1x + x2 -2X + xX = -4 + 1x + x2 Reorder the terms: 4 + -2X + -1x + xX + -1x2 = -4 + 1x + x2 + 4 + -1x + -1x2 Reorder the terms: 4 + -2X + -1x + xX + -1x2 = -4 + 4 + 1x + -1x + x2 + -1x2 Combine like terms: -4 + 4 = 0 4 + -2X + -1x + xX + -1x2 = 0 + 1x + -1x + x2 + -1x2 4 + -2X + -1x + xX + -1x2 = 1x + -1x + x2 + -1x2 Combine like terms: 1x + -1x = 0 4 + -2X + -1x + xX + -1x2 = 0 + x2 + -1x2 4 + -2X + -1x + xX + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + -2X + -1x + xX + -1x2 = 0 The solution to this equation could not be determined.
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