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