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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 2qrstx = (11 * qrst + -8x * qrst) + -1 2qrstx = (11qrst + -8qrstx) + -1 Reorder the terms: 2qrstx = -1 + 11qrst + -8qrstx Solving 2qrstx = -1 + 11qrst + -8qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11qrst' to each side of the equation. -11qrst + 2qrstx = -1 + 11qrst + -11qrst + -8qrstx Combine like terms: 11qrst + -11qrst = 0 -11qrst + 2qrstx = -1 + 0 + -8qrstx -11qrst + 2qrstx = -1 + -8qrstx Add '8qrstx' to each side of the equation. -11qrst + 2qrstx + 8qrstx = -1 + -8qrstx + 8qrstx Combine like terms: 2qrstx + 8qrstx = 10qrstx -11qrst + 10qrstx = -1 + -8qrstx + 8qrstx Combine like terms: -8qrstx + 8qrstx = 0 -11qrst + 10qrstx = -1 + 0 -11qrst + 10qrstx = -1 Reorder the terms: 1 + -11qrst + 10qrstx = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -11qrst + 10qrstx = 0 The solution to this equation could not be determined.
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