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Simplifying 1000 = sqrt(x * 2x) Reorder the terms for easier multiplication: 1000 = qrst(2x * x) Multiply x * x 1000 = qrst(2x2) Remove parenthesis around (2x2) 1000 = qrst * 2x2 Reorder the terms for easier multiplication: 1000 = 2qrst * x2 Multiply qrst * x2 1000 = 2qrstx2 Solving 1000 = 2qrstx2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qrstx2' to each side of the equation. 1000 + -2qrstx2 = 2qrstx2 + -2qrstx2 Combine like terms: 2qrstx2 + -2qrstx2 = 0 1000 + -2qrstx2 = 0 Add '-1000' to each side of the equation. 1000 + -1000 + -2qrstx2 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -2qrstx2 = 0 + -1000 -2qrstx2 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 -2qrstx2 = -1000 Divide each side by '-2rstx2'. q = 500r-1s-1t-1x-2 Simplifying q = 500r-1s-1t-1x-2
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