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Simplifying sqrt(x + -3) = sqrt(2x + -7) Reorder the terms: qrst(-3 + x) = sqrt(2x + -7) (-3 * qrst + x * qrst) = sqrt(2x + -7) (-3qrst + qrstx) = sqrt(2x + -7) Reorder the terms: -3qrst + qrstx = qrst(-7 + 2x) -3qrst + qrstx = (-7 * qrst + 2x * qrst) -3qrst + qrstx = (-7qrst + 2qrstx) Solving -3qrst + qrstx = -7qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7qrst' to each side of the equation. -3qrst + 7qrst + qrstx = -7qrst + 7qrst + 2qrstx Combine like terms: -3qrst + 7qrst = 4qrst 4qrst + qrstx = -7qrst + 7qrst + 2qrstx Combine like terms: -7qrst + 7qrst = 0 4qrst + qrstx = 0 + 2qrstx 4qrst + qrstx = 2qrstx Add '-2qrstx' to each side of the equation. 4qrst + qrstx + -2qrstx = 2qrstx + -2qrstx Combine like terms: qrstx + -2qrstx = -1qrstx 4qrst + -1qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 4qrst + -1qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x 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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