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Simplifying sqrt(7x + 2) = sqrt(8x + 4) Reorder the terms: qrst(2 + 7x) = sqrt(8x + 4) (2 * qrst + 7x * qrst) = sqrt(8x + 4) (2qrst + 7qrstx) = sqrt(8x + 4) Reorder the terms: 2qrst + 7qrstx = qrst(4 + 8x) 2qrst + 7qrstx = (4 * qrst + 8x * qrst) 2qrst + 7qrstx = (4qrst + 8qrstx) Solving 2qrst + 7qrstx = 4qrst + 8qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4qrst' to each side of the equation. 2qrst + -4qrst + 7qrstx = 4qrst + -4qrst + 8qrstx Combine like terms: 2qrst + -4qrst = -2qrst -2qrst + 7qrstx = 4qrst + -4qrst + 8qrstx Combine like terms: 4qrst + -4qrst = 0 -2qrst + 7qrstx = 0 + 8qrstx -2qrst + 7qrstx = 8qrstx Add '-8qrstx' to each side of the equation. -2qrst + 7qrstx + -8qrstx = 8qrstx + -8qrstx Combine like terms: 7qrstx + -8qrstx = -1qrstx -2qrst + -1qrstx = 8qrstx + -8qrstx Combine like terms: 8qrstx + -8qrstx = 0 -2qrst + -1qrstx = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(2 + x) = 0 Ignore the factor -1.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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