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Simplifying x2 + 8x + 2sqrt(x2 + 8x) = 15 Reorder the terms: x2 + 8x + 2qrst(8x + x2) = 15 x2 + 8x + (8x * 2qrst + x2 * 2qrst) = 15 x2 + 8x + (16qrstx + 2qrstx2) = 15 Reorder the terms: 16qrstx + 2qrstx2 + 8x + x2 = 15 Solving 16qrstx + 2qrstx2 + 8x + x2 = 15 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8x' to each side of the equation. 16qrstx + 2qrstx2 + 8x + -8x + x2 = 15 + -8x Combine like terms: 8x + -8x = 0 16qrstx + 2qrstx2 + 0 + x2 = 15 + -8x 16qrstx + 2qrstx2 + x2 = 15 + -8x Add '-1x2' to each side of the equation. 16qrstx + 2qrstx2 + x2 + -1x2 = 15 + -8x + -1x2 Combine like terms: x2 + -1x2 = 0 16qrstx + 2qrstx2 + 0 = 15 + -8x + -1x2 16qrstx + 2qrstx2 = 15 + -8x + -1x2 Reorder the terms: -15 + 16qrstx + 2qrstx2 + 8x + x2 = 15 + -8x + -1x2 + -15 + 8x + x2 Reorder the terms: -15 + 16qrstx + 2qrstx2 + 8x + x2 = 15 + -15 + -8x + 8x + -1x2 + x2 Combine like terms: 15 + -15 = 0 -15 + 16qrstx + 2qrstx2 + 8x + x2 = 0 + -8x + 8x + -1x2 + x2 -15 + 16qrstx + 2qrstx2 + 8x + x2 = -8x + 8x + -1x2 + x2 Combine like terms: -8x + 8x = 0 -15 + 16qrstx + 2qrstx2 + 8x + x2 = 0 + -1x2 + x2 -15 + 16qrstx + 2qrstx2 + 8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -15 + 16qrstx + 2qrstx2 + 8x + x2 = 0 The solution to this equation could not be determined.
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