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Simplifying sqrt(3x + -1) + -1sqrt(8 + -1x) = sqrt(9 + -4x) Reorder the terms: qrst(-1 + 3x) + -1sqrt(8 + -1x) = sqrt(9 + -4x) (-1 * qrst + 3x * qrst) + -1sqrt(8 + -1x) = sqrt(9 + -4x) (-1qrst + 3qrstx) + -1sqrt(8 + -1x) = sqrt(9 + -4x) -1qrst + 3qrstx + (8 * -1qrst + -1x * -1qrst) = sqrt(9 + -4x) -1qrst + 3qrstx + (-8qrst + 1qrstx) = sqrt(9 + -4x) Reorder the terms: -1qrst + -8qrst + 3qrstx + 1qrstx = sqrt(9 + -4x) Combine like terms: -1qrst + -8qrst = -9qrst -9qrst + 3qrstx + 1qrstx = sqrt(9 + -4x) Combine like terms: 3qrstx + 1qrstx = 4qrstx -9qrst + 4qrstx = sqrt(9 + -4x) -9qrst + 4qrstx = (9 * qrst + -4x * qrst) -9qrst + 4qrstx = (9qrst + -4qrstx) Solving -9qrst + 4qrstx = 9qrst + -4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9qrst' to each side of the equation. -9qrst + -9qrst + 4qrstx = 9qrst + -9qrst + -4qrstx Combine like terms: -9qrst + -9qrst = -18qrst -18qrst + 4qrstx = 9qrst + -9qrst + -4qrstx Combine like terms: 9qrst + -9qrst = 0 -18qrst + 4qrstx = 0 + -4qrstx -18qrst + 4qrstx = -4qrstx Add '4qrstx' to each side of the equation. -18qrst + 4qrstx + 4qrstx = -4qrstx + 4qrstx Combine like terms: 4qrstx + 4qrstx = 8qrstx -18qrst + 8qrstx = -4qrstx + 4qrstx Combine like terms: -4qrstx + 4qrstx = 0 -18qrst + 8qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-9 + 4x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-9 + 4x)' equal to zero and attempt to solve: Simplifying -9 + 4x = 0 Solving -9 + 4x = 0 Move all terms containing q to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 0 + 9 4x = 0 + 9 Combine like terms: 0 + 9 = 9 4x = 9 Add '-4x' to each side of the equation. 4x + -4x = 9 + -4x Combine like terms: 4x + -4x = 0 0 = 9 + -4x Simplifying 0 = 9 + -4x 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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