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Simplifying x2 + 3x + 4 + -1sqrt(x2 + 3x + 6) = 0 Reorder the terms: x2 + 3x + 4 + -1qrst(6 + 3x + x2) = 0 x2 + 3x + 4 + (6 * -1qrst + 3x * -1qrst + x2 * -1qrst) = 0 x2 + 3x + 4 + (-6qrst + -3qrstx + -1qrstx2) = 0 Reorder the terms: 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 Solving 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 + -4 -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = -4 Add '-3x' to each side of the equation. -6qrst + -3qrstx + -1qrstx2 + 3x + -3x + x2 = -4 + -3x Combine like terms: 3x + -3x = 0 -6qrst + -3qrstx + -1qrstx2 + 0 + x2 = -4 + -3x -6qrst + -3qrstx + -1qrstx2 + x2 = -4 + -3x Add '-1x2' to each side of the equation. -6qrst + -3qrstx + -1qrstx2 + x2 + -1x2 = -4 + -3x + -1x2 Combine like terms: x2 + -1x2 = 0 -6qrst + -3qrstx + -1qrstx2 + 0 = -4 + -3x + -1x2 -6qrst + -3qrstx + -1qrstx2 = -4 + -3x + -1x2 Reorder the terms: 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = -4 + -3x + -1x2 + 4 + 3x + x2 Reorder the terms: 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = -4 + 4 + -3x + 3x + -1x2 + x2 Combine like terms: -4 + 4 = 0 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 + -3x + 3x + -1x2 + x2 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = -3x + 3x + -1x2 + x2 Combine like terms: -3x + 3x = 0 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 + -1x2 + x2 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 4 + -6qrst + -3qrstx + -1qrstx2 + 3x + x2 = 0 The solution to this equation could not be determined.
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