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Simplifying sqrt(2) * sqrt(23x + 8) = sqrt(4x + 4) Reorder the terms: qrst * 2qrst(8 + 23x) = sqrt(4x + 4) Reorder the terms for easier multiplication: 2qrst * qrst(8 + 23x) = sqrt(4x + 4) Multiply qrst * qrst 2q2r2s2t2(8 + 23x) = sqrt(4x + 4) (8 * 2q2r2s2t2 + 23x * 2q2r2s2t2) = sqrt(4x + 4) (16q2r2s2t2 + 46q2r2s2t2x) = sqrt(4x + 4) Reorder the terms: 16q2r2s2t2 + 46q2r2s2t2x = qrst(4 + 4x) 16q2r2s2t2 + 46q2r2s2t2x = (4 * qrst + 4x * qrst) 16q2r2s2t2 + 46q2r2s2t2x = (4qrst + 4qrstx) Solving 16q2r2s2t2 + 46q2r2s2t2x = 4qrst + 4qrstx Solving for variable 'q'. Reorder the terms: -4qrst + -4qrstx + 16q2r2s2t2 + 46q2r2s2t2x = 4qrst + 4qrstx + -4qrst + -4qrstx Reorder the terms: -4qrst + -4qrstx + 16q2r2s2t2 + 46q2r2s2t2x = 4qrst + -4qrst + 4qrstx + -4qrstx Combine like terms: 4qrst + -4qrst = 0 -4qrst + -4qrstx + 16q2r2s2t2 + 46q2r2s2t2x = 0 + 4qrstx + -4qrstx -4qrst + -4qrstx + 16q2r2s2t2 + 46q2r2s2t2x = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 -4qrst + -4qrstx + 16q2r2s2t2 + 46q2r2s2t2x = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-2 + -2x + 8qrst + 23qrstx) = 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 '(-2 + -2x + 8qrst + 23qrstx)' equal to zero and attempt to solve: Simplifying -2 + -2x + 8qrst + 23qrstx = 0 Reorder the terms: -2 + 8qrst + 23qrstx + -2x = 0 Solving -2 + 8qrst + 23qrstx + -2x = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 8qrst + 23qrstx + 2 + -2x = 0 + 2 Reorder the terms: -2 + 2 + 8qrst + 23qrstx + -2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8qrst + 23qrstx + -2x = 0 + 2 8qrst + 23qrstx + -2x = 0 + 2 Combine like terms: 0 + 2 = 2 8qrst + 23qrstx + -2x = 2 Add '2x' to each side of the equation. 8qrst + 23qrstx + -2x + 2x = 2 + 2x Combine like terms: -2x + 2x = 0 8qrst + 23qrstx + 0 = 2 + 2x 8qrst + 23qrstx = 2 + 2x 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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