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Simplifying sqrt(8x + -11) = sqrt(6x + 9) Reorder the terms: qrst(-11 + 8x) = sqrt(6x + 9) (-11 * qrst + 8x * qrst) = sqrt(6x + 9) (-11qrst + 8qrstx) = sqrt(6x + 9) Reorder the terms: -11qrst + 8qrstx = qrst(9 + 6x) -11qrst + 8qrstx = (9 * qrst + 6x * qrst) -11qrst + 8qrstx = (9qrst + 6qrstx) Solving -11qrst + 8qrstx = 9qrst + 6qrstx 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. -11qrst + -9qrst + 8qrstx = 9qrst + -9qrst + 6qrstx Combine like terms: -11qrst + -9qrst = -20qrst -20qrst + 8qrstx = 9qrst + -9qrst + 6qrstx Combine like terms: 9qrst + -9qrst = 0 -20qrst + 8qrstx = 0 + 6qrstx -20qrst + 8qrstx = 6qrstx Add '-6qrstx' to each side of the equation. -20qrst + 8qrstx + -6qrstx = 6qrstx + -6qrstx Combine like terms: 8qrstx + -6qrstx = 2qrstx -20qrst + 2qrstx = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 -20qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-10 + 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 '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Add '-1x' to each side of the equation. x + -1x = 10 + -1x Combine like terms: x + -1x = 0 0 = 10 + -1x Simplifying 0 = 10 + -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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