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Simplifying (8 + -2x)(16 + -1x) = 2x2 + -40x + 128 Multiply (8 + -2x) * (16 + -1x) (8(16 + -1x) + -2x * (16 + -1x)) = 2x2 + -40x + 128 ((16 * 8 + -1x * 8) + -2x * (16 + -1x)) = 2x2 + -40x + 128 ((128 + -8x) + -2x * (16 + -1x)) = 2x2 + -40x + 128 (128 + -8x + (16 * -2x + -1x * -2x)) = 2x2 + -40x + 128 (128 + -8x + (-32x + 2x2)) = 2x2 + -40x + 128 Combine like terms: -8x + -32x = -40x (128 + -40x + 2x2) = 2x2 + -40x + 128 Reorder the terms: 128 + -40x + 2x2 = 128 + -40x + 2x2 Add '-128' to each side of the equation. 128 + -40x + -128 + 2x2 = 128 + -40x + -128 + 2x2 Reorder the terms: 128 + -128 + -40x + 2x2 = 128 + -40x + -128 + 2x2 Combine like terms: 128 + -128 = 0 0 + -40x + 2x2 = 128 + -40x + -128 + 2x2 -40x + 2x2 = 128 + -40x + -128 + 2x2 Reorder the terms: -40x + 2x2 = 128 + -128 + -40x + 2x2 Combine like terms: 128 + -128 = 0 -40x + 2x2 = 0 + -40x + 2x2 -40x + 2x2 = -40x + 2x2 Add '40x' to each side of the equation. -40x + 40x + 2x2 = -40x + 40x + 2x2 Combine like terms: -40x + 40x = 0 0 + 2x2 = -40x + 40x + 2x2 2x2 = -40x + 40x + 2x2 Combine like terms: -40x + 40x = 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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