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Simplifying sqrt(9x + -4) = sqrt(7x + -20) Reorder the terms: qrst(-4 + 9x) = sqrt(7x + -20) (-4 * qrst + 9x * qrst) = sqrt(7x + -20) (-4qrst + 9qrstx) = sqrt(7x + -20) Reorder the terms: -4qrst + 9qrstx = qrst(-20 + 7x) -4qrst + 9qrstx = (-20 * qrst + 7x * qrst) -4qrst + 9qrstx = (-20qrst + 7qrstx) Solving -4qrst + 9qrstx = -20qrst + 7qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '20qrst' to each side of the equation. -4qrst + 20qrst + 9qrstx = -20qrst + 20qrst + 7qrstx Combine like terms: -4qrst + 20qrst = 16qrst 16qrst + 9qrstx = -20qrst + 20qrst + 7qrstx Combine like terms: -20qrst + 20qrst = 0 16qrst + 9qrstx = 0 + 7qrstx 16qrst + 9qrstx = 7qrstx Add '-7qrstx' to each side of the equation. 16qrst + 9qrstx + -7qrstx = 7qrstx + -7qrstx Combine like terms: 9qrstx + -7qrstx = 2qrstx 16qrst + 2qrstx = 7qrstx + -7qrstx Combine like terms: 7qrstx + -7qrstx = 0 16qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(8 + x) = 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Add '-1x' to each side of the equation. x + -1x = -8 + -1x Combine like terms: x + -1x = 0 0 = -8 + -1x Simplifying 0 = -8 + -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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