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Simplifying sqrt(8x + 1) = sqrt(4x + 9) Reorder the terms: qrst(1 + 8x) = sqrt(4x + 9) (1 * qrst + 8x * qrst) = sqrt(4x + 9) (1qrst + 8qrstx) = sqrt(4x + 9) Reorder the terms: 1qrst + 8qrstx = qrst(9 + 4x) 1qrst + 8qrstx = (9 * qrst + 4x * qrst) 1qrst + 8qrstx = (9qrst + 4qrstx) Solving 1qrst + 8qrstx = 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. 1qrst + -9qrst + 8qrstx = 9qrst + -9qrst + 4qrstx Combine like terms: 1qrst + -9qrst = -8qrst -8qrst + 8qrstx = 9qrst + -9qrst + 4qrstx Combine like terms: 9qrst + -9qrst = 0 -8qrst + 8qrstx = 0 + 4qrstx -8qrst + 8qrstx = 4qrstx Add '-4qrstx' to each side of the equation. -8qrst + 8qrstx + -4qrstx = 4qrstx + -4qrstx Combine like terms: 8qrstx + -4qrstx = 4qrstx -8qrst + 4qrstx = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 -8qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '4qrst'. 4qrst(-2 + x) = 0 Ignore the factor 4.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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -1x 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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