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Simplifying sqrt(8x2 + 10x + 3) + 6x + -1sqrt(4x + 3) + -1sqrt(2x + 1) + -16 = 0 Reorder the terms: qrst(3 + 10x + 8x2) + 6x + -1sqrt(4x + 3) + -1sqrt(2x + 1) + -16 = 0 (3 * qrst + 10x * qrst + 8x2 * qrst) + 6x + -1sqrt(4x + 3) + -1sqrt(2x + 1) + -16 = 0 (3qrst + 10qrstx + 8qrstx2) + 6x + -1sqrt(4x + 3) + -1sqrt(2x + 1) + -16 = 0 Reorder the terms: 3qrst + 10qrstx + 8qrstx2 + 6x + -1qrst(3 + 4x) + -1sqrt(2x + 1) + -16 = 0 3qrst + 10qrstx + 8qrstx2 + 6x + (3 * -1qrst + 4x * -1qrst) + -1sqrt(2x + 1) + -16 = 0 3qrst + 10qrstx + 8qrstx2 + 6x + (-3qrst + -4qrstx) + -1sqrt(2x + 1) + -16 = 0 Reorder the terms: 3qrst + 10qrstx + 8qrstx2 + 6x + -3qrst + -4qrstx + -1qrst(1 + 2x) + -16 = 0 3qrst + 10qrstx + 8qrstx2 + 6x + -3qrst + -4qrstx + (1 * -1qrst + 2x * -1qrst) + -16 = 0 3qrst + 10qrstx + 8qrstx2 + 6x + -3qrst + -4qrstx + (-1qrst + -2qrstx) + -16 = 0 Reorder the terms: -16 + 3qrst + -3qrst + -1qrst + 10qrstx + -4qrstx + -2qrstx + 8qrstx2 + 6x = 0 Combine like terms: 3qrst + -3qrst = 0 -16 + 0 + -1qrst + 10qrstx + -4qrstx + -2qrstx + 8qrstx2 + 6x = 0 -16 + -1qrst + 10qrstx + -4qrstx + -2qrstx + 8qrstx2 + 6x = 0 Combine like terms: 10qrstx + -4qrstx = 6qrstx -16 + -1qrst + 6qrstx + -2qrstx + 8qrstx2 + 6x = 0 Combine like terms: 6qrstx + -2qrstx = 4qrstx -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 0 Solving -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -1qrst + 4qrstx + 8qrstx2 + 16 + 6x = 0 + 16 Reorder the terms: -16 + 16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1qrst + 4qrstx + 8qrstx2 + 6x = 0 + 16 -1qrst + 4qrstx + 8qrstx2 + 6x = 0 + 16 Combine like terms: 0 + 16 = 16 -1qrst + 4qrstx + 8qrstx2 + 6x = 16 Add '-6x' to each side of the equation. -1qrst + 4qrstx + 8qrstx2 + 6x + -6x = 16 + -6x Combine like terms: 6x + -6x = 0 -1qrst + 4qrstx + 8qrstx2 + 0 = 16 + -6x -1qrst + 4qrstx + 8qrstx2 = 16 + -6x Reorder the terms: -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 16 + -6x + -16 + 6x Reorder the terms: -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 16 + -16 + -6x + 6x Combine like terms: 16 + -16 = 0 -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 0 + -6x + 6x -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -16 + -1qrst + 4qrstx + 8qrstx2 + 6x = 0 The solution to this equation could not be determined.
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