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Simplifying 3 = sqrt(2x3 + 2x2 + 4x + 1) Reorder the terms: 3 = qrst(1 + 4x + 2x2 + 2x3) 3 = (1 * qrst + 4x * qrst + 2x2 * qrst + 2x3 * qrst) 3 = (1qrst + 4qrstx + 2qrstx2 + 2qrstx3) Solving 3 = 1qrst + 4qrstx + 2qrstx2 + 2qrstx3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qrst' to each side of the equation. 3 + -1qrst = 1qrst + 4qrstx + 2qrstx2 + -1qrst + 2qrstx3 Reorder the terms: 3 + -1qrst = 1qrst + -1qrst + 4qrstx + 2qrstx2 + 2qrstx3 Combine like terms: 1qrst + -1qrst = 0 3 + -1qrst = 0 + 4qrstx + 2qrstx2 + 2qrstx3 3 + -1qrst = 4qrstx + 2qrstx2 + 2qrstx3 Add '-4qrstx' to each side of the equation. 3 + -1qrst + -4qrstx = 4qrstx + 2qrstx2 + -4qrstx + 2qrstx3 Reorder the terms: 3 + -1qrst + -4qrstx = 4qrstx + -4qrstx + 2qrstx2 + 2qrstx3 Combine like terms: 4qrstx + -4qrstx = 0 3 + -1qrst + -4qrstx = 0 + 2qrstx2 + 2qrstx3 3 + -1qrst + -4qrstx = 2qrstx2 + 2qrstx3 Add '-2qrstx2' to each side of the equation. 3 + -1qrst + -4qrstx + -2qrstx2 = 2qrstx2 + -2qrstx2 + 2qrstx3 Combine like terms: 2qrstx2 + -2qrstx2 = 0 3 + -1qrst + -4qrstx + -2qrstx2 = 0 + 2qrstx3 3 + -1qrst + -4qrstx + -2qrstx2 = 2qrstx3 Add '-2qrstx3' to each side of the equation. 3 + -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = 2qrstx3 + -2qrstx3 Combine like terms: 2qrstx3 + -2qrstx3 = 0 3 + -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = 0 Add '-3' to each side of the equation. 3 + -1qrst + -4qrstx + -2qrstx2 + -3 + -2qrstx3 = 0 + -3 Reorder the terms: 3 + -3 + -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = 0 + -3 -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = -3 Reorder the terms: 3 + -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = -3 + 3 Combine like terms: -3 + 3 = 0 3 + -1qrst + -4qrstx + -2qrstx2 + -2qrstx3 = 0 The solution to this equation could not be determined.
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