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Simplifying sqrt(11 + -2x) + sqrt(88 + -9x) = 0 (11 * qrst + -2x * qrst) + sqrt(88 + -9x) = 0 (11qrst + -2qrstx) + sqrt(88 + -9x) = 0 11qrst + -2qrstx + (88 * qrst + -9x * qrst) = 0 11qrst + -2qrstx + (88qrst + -9qrstx) = 0 Reorder the terms: 11qrst + 88qrst + -2qrstx + -9qrstx = 0 Combine like terms: 11qrst + 88qrst = 99qrst 99qrst + -2qrstx + -9qrstx = 0 Combine like terms: -2qrstx + -9qrstx = -11qrstx 99qrst + -11qrstx = 0 Solving 99qrst + -11qrstx = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '11qrst'. 11qrst(9 + -1x) = 0 Ignore the factor 11.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Add 'x' to each side of the equation. -1x + x = -9 + x Combine like terms: -1x + x = 0 0 = -9 + x Simplifying 0 = -9 + x 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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