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Simplifying sqrt(11 + 10x) + sqrt(8x + 9) = 2 (11 * qrst + 10x * qrst) + sqrt(8x + 9) = 2 (11qrst + 10qrstx) + sqrt(8x + 9) = 2 Reorder the terms: 11qrst + 10qrstx + qrst(9 + 8x) = 2 11qrst + 10qrstx + (9 * qrst + 8x * qrst) = 2 11qrst + 10qrstx + (9qrst + 8qrstx) = 2 Reorder the terms: 11qrst + 9qrst + 10qrstx + 8qrstx = 2 Combine like terms: 11qrst + 9qrst = 20qrst 20qrst + 10qrstx + 8qrstx = 2 Combine like terms: 10qrstx + 8qrstx = 18qrstx 20qrst + 18qrstx = 2 Solving 20qrst + 18qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + 20qrst + 18qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 20qrst + 18qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 10qrst + 9qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 10qrst + 9qrstx)' equal to zero and attempt to solve: Simplifying -1 + 10qrst + 9qrstx = 0 Solving -1 + 10qrst + 9qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 10qrst + 1 + 9qrstx = 0 + 1 Reorder the terms: -1 + 1 + 10qrst + 9qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 10qrst + 9qrstx = 0 + 1 10qrst + 9qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 10qrst + 9qrstx = 1 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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