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Simplifying (3x + -1)(x + 2) = 3x2 + 5x + -2 Reorder the terms: (-1 + 3x)(x + 2) = 3x2 + 5x + -2 Reorder the terms: (-1 + 3x)(2 + x) = 3x2 + 5x + -2 Multiply (-1 + 3x) * (2 + x) (-1(2 + x) + 3x * (2 + x)) = 3x2 + 5x + -2 ((2 * -1 + x * -1) + 3x * (2 + x)) = 3x2 + 5x + -2 ((-2 + -1x) + 3x * (2 + x)) = 3x2 + 5x + -2 (-2 + -1x + (2 * 3x + x * 3x)) = 3x2 + 5x + -2 (-2 + -1x + (6x + 3x2)) = 3x2 + 5x + -2 Combine like terms: -1x + 6x = 5x (-2 + 5x + 3x2) = 3x2 + 5x + -2 Reorder the terms: -2 + 5x + 3x2 = -2 + 5x + 3x2 Add '2' to each side of the equation. -2 + 5x + 2 + 3x2 = -2 + 5x + 2 + 3x2 Reorder the terms: -2 + 2 + 5x + 3x2 = -2 + 5x + 2 + 3x2 Combine like terms: -2 + 2 = 0 0 + 5x + 3x2 = -2 + 5x + 2 + 3x2 5x + 3x2 = -2 + 5x + 2 + 3x2 Reorder the terms: 5x + 3x2 = -2 + 2 + 5x + 3x2 Combine like terms: -2 + 2 = 0 5x + 3x2 = 0 + 5x + 3x2 5x + 3x2 = 5x + 3x2 Add '-5x' to each side of the equation. 5x + -5x + 3x2 = 5x + -5x + 3x2 Combine like terms: 5x + -5x = 0 0 + 3x2 = 5x + -5x + 3x2 3x2 = 5x + -5x + 3x2 Combine like terms: 5x + -5x = 0 3x2 = 0 + 3x2 3x2 = 3x2 Add '-3x2' to each side of the equation. 3x2 + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 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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