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Simplifying sqrt((90)(sqrt(x))) = sqrt(x) Multiply qrst * x qrst(90(qrstx)) = sqrt(x) Remove parenthesis around (90qrstx) qrst * 90qrstx = sqrt(x) Reorder the terms for easier multiplication: 90qrst * qrstx = sqrt(x) Multiply qrst * qrstx 90q2r2s2t2x = sqrt(x) Multiply qrst * x 90q2r2s2t2x = qrstx Solving 90q2r2s2t2x = qrstx Solving for variable 'q'. Reorder the terms: -1qrstx + 90q2r2s2t2x = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 -1qrstx + 90q2r2s2t2x = 0 Factor out the Greatest Common Factor (GCF), 'qrstx'. qrstx(-1 + 90qrst) = 0Subproblem 1
Set the factor 'qrstx' equal to zero and attempt to solve: Simplifying qrstx = 0 Solving qrstx = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrstx = 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 + 90qrst)' equal to zero and attempt to solve: Simplifying -1 + 90qrst = 0 Solving -1 + 90qrst = 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 + 90qrst = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 90qrst = 0 + 1 90qrst = 0 + 1 Combine like terms: 0 + 1 = 1 90qrst = 1 Divide each side by '90rst'. q = 0.01111111111r-1s-1t-1 Simplifying q = 0.01111111111r-1s-1t-1Solution
q = {0.01111111111r-1s-1t-1}
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