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Simplifying sqrt(2x + 3) = 8 + -1sqrt(2x + 1) Reorder the terms: qrst(3 + 2x) = 8 + -1sqrt(2x + 1) (3 * qrst + 2x * qrst) = 8 + -1sqrt(2x + 1) (3qrst + 2qrstx) = 8 + -1sqrt(2x + 1) Reorder the terms: 3qrst + 2qrstx = 8 + -1qrst(1 + 2x) 3qrst + 2qrstx = 8 + (1 * -1qrst + 2x * -1qrst) 3qrst + 2qrstx = 8 + (-1qrst + -2qrstx) Solving 3qrst + 2qrstx = 8 + -1qrst + -2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'qrst' to each side of the equation. 3qrst + qrst + 2qrstx = 8 + -1qrst + qrst + -2qrstx Combine like terms: 3qrst + qrst = 4qrst 4qrst + 2qrstx = 8 + -1qrst + qrst + -2qrstx Combine like terms: -1qrst + qrst = 0 4qrst + 2qrstx = 8 + 0 + -2qrstx 4qrst + 2qrstx = 8 + -2qrstx Add '2qrstx' to each side of the equation. 4qrst + 2qrstx + 2qrstx = 8 + -2qrstx + 2qrstx Combine like terms: 2qrstx + 2qrstx = 4qrstx 4qrst + 4qrstx = 8 + -2qrstx + 2qrstx Combine like terms: -2qrstx + 2qrstx = 0 4qrst + 4qrstx = 8 + 0 4qrst + 4qrstx = 8 Reorder the terms: -8 + 4qrst + 4qrstx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + qrst + qrstx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + qrst + qrstx)' equal to zero and attempt to solve: Simplifying -2 + qrst + qrstx = 0 Solving -2 + qrst + qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + qrst + 2 + qrstx = 0 + 2 Reorder the terms: -2 + 2 + qrst + qrstx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + qrst + qrstx = 0 + 2 qrst + qrstx = 0 + 2 Combine like terms: 0 + 2 = 2 qrst + qrstx = 2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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