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Simplifying (x + 1)(x + 8) = 8x Reorder the terms: (1 + x)(x + 8) = 8x Reorder the terms: (1 + x)(8 + x) = 8x Multiply (1 + x) * (8 + x) (1(8 + x) + x(8 + x)) = 8x ((8 * 1 + x * 1) + x(8 + x)) = 8x ((8 + 1x) + x(8 + x)) = 8x (8 + 1x + (8 * x + x * x)) = 8x (8 + 1x + (8x + x2)) = 8x Combine like terms: 1x + 8x = 9x (8 + 9x + x2) = 8x Solving 8 + 9x + x2 = 8x Solving for variable 'x'. Reorder the terms: 8 + 9x + -8x + x2 = 8x + -8x Combine like terms: 9x + -8x = 1x 8 + 1x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 8 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 1x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 1x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x + x2 = 0 + -8 1x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 1x + x2 = -8 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -8 + 0.25 Reorder the terms: 0.25 + x + x2 = -8 + 0.25 Combine like terms: -8 + 0.25 = -7.75 0.25 + x + x2 = -7.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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