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Simplifying sqrt(2x) = sqrt(11 + -8x + -1) Remove parenthesis around (2x) qrst * 2x = sqrt(11 + -8x + -1) Reorder the terms for easier multiplication: 2qrst * x = sqrt(11 + -8x + -1) Multiply qrst * x 2qrstx = sqrt(11 + -8x + -1) Reorder the terms: 2qrstx = qrst(11 + -1 + -8x) Combine like terms: 11 + -1 = 10 2qrstx = qrst(10 + -8x) 2qrstx = (10 * qrst + -8x * qrst) 2qrstx = (10qrst + -8qrstx) Solving 2qrstx = 10qrst + -8qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10qrst' to each side of the equation. -10qrst + 2qrstx = 10qrst + -10qrst + -8qrstx Combine like terms: 10qrst + -10qrst = 0 -10qrst + 2qrstx = 0 + -8qrstx -10qrst + 2qrstx = -8qrstx Add '8qrstx' to each side of the equation. -10qrst + 2qrstx + 8qrstx = -8qrstx + 8qrstx Combine like terms: 2qrstx + 8qrstx = 10qrstx -10qrst + 10qrstx = -8qrstx + 8qrstx Combine like terms: -8qrstx + 8qrstx = 0 -10qrst + 10qrstx = 0 Factor out the Greatest Common Factor (GCF), '10qrst'. 10qrst(-1 + x) = 0 Ignore the factor 10.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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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