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