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Simplifying (x + 1)(x + -2) + 2 = x(x + -2) + x Reorder the terms: (1 + x)(x + -2) + 2 = x(x + -2) + x Reorder the terms: (1 + x)(-2 + x) + 2 = x(x + -2) + x Multiply (1 + x) * (-2 + x) (1(-2 + x) + x(-2 + x)) + 2 = x(x + -2) + x ((-2 * 1 + x * 1) + x(-2 + x)) + 2 = x(x + -2) + x ((-2 + 1x) + x(-2 + x)) + 2 = x(x + -2) + x (-2 + 1x + (-2 * x + x * x)) + 2 = x(x + -2) + x (-2 + 1x + (-2x + x2)) + 2 = x(x + -2) + x Combine like terms: 1x + -2x = -1x (-2 + -1x + x2) + 2 = x(x + -2) + x Reorder the terms: -2 + 2 + -1x + x2 = x(x + -2) + x Combine like terms: -2 + 2 = 0 0 + -1x + x2 = x(x + -2) + x -1x + x2 = x(x + -2) + x Reorder the terms: -1x + x2 = x(-2 + x) + x -1x + x2 = (-2 * x + x * x) + x -1x + x2 = (-2x + x2) + x Reorder the terms: -1x + x2 = -2x + x + x2 Combine like terms: -2x + x = -1x -1x + x2 = -1x + x2 Add 'x' to each side of the equation. -1x + x + x2 = -1x + x + x2 Combine like terms: -1x + x = 0 0 + x2 = -1x + x + x2 x2 = -1x + x + x2 Combine like terms: -1x + x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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