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Simplifying sqrt(2x + -3) = sqrt(x) Reorder the terms: qrst(-3 + 2x) = sqrt(x) (-3 * qrst + 2x * qrst) = sqrt(x) (-3qrst + 2qrstx) = sqrt(x) Multiply qrst * x -3qrst + 2qrstx = qrstx Solving -3qrst + 2qrstx = qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qrstx' to each side of the equation. -3qrst + 2qrstx + -1qrstx = qrstx + -1qrstx Combine like terms: 2qrstx + -1qrstx = 1qrstx -3qrst + 1qrstx = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 -3qrst + 1qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(-3 + x) = 0Subproblem 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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