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Simplifying (2x + -1)(x + 8) = 2x2 + 15x + -8 Reorder the terms: (-1 + 2x)(x + 8) = 2x2 + 15x + -8 Reorder the terms: (-1 + 2x)(8 + x) = 2x2 + 15x + -8 Multiply (-1 + 2x) * (8 + x) (-1(8 + x) + 2x * (8 + x)) = 2x2 + 15x + -8 ((8 * -1 + x * -1) + 2x * (8 + x)) = 2x2 + 15x + -8 ((-8 + -1x) + 2x * (8 + x)) = 2x2 + 15x + -8 (-8 + -1x + (8 * 2x + x * 2x)) = 2x2 + 15x + -8 (-8 + -1x + (16x + 2x2)) = 2x2 + 15x + -8 Combine like terms: -1x + 16x = 15x (-8 + 15x + 2x2) = 2x2 + 15x + -8 Reorder the terms: -8 + 15x + 2x2 = -8 + 15x + 2x2 Add '8' to each side of the equation. -8 + 15x + 8 + 2x2 = -8 + 15x + 8 + 2x2 Reorder the terms: -8 + 8 + 15x + 2x2 = -8 + 15x + 8 + 2x2 Combine like terms: -8 + 8 = 0 0 + 15x + 2x2 = -8 + 15x + 8 + 2x2 15x + 2x2 = -8 + 15x + 8 + 2x2 Reorder the terms: 15x + 2x2 = -8 + 8 + 15x + 2x2 Combine like terms: -8 + 8 = 0 15x + 2x2 = 0 + 15x + 2x2 15x + 2x2 = 15x + 2x2 Add '-15x' to each side of the equation. 15x + -15x + 2x2 = 15x + -15x + 2x2 Combine like terms: 15x + -15x = 0 0 + 2x2 = 15x + -15x + 2x2 2x2 = 15x + -15x + 2x2 Combine like terms: 15x + -15x = 0 2x2 = 0 + 2x2 2x2 = 2x2 Add '-2x2' to each side of the equation. 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 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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