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Simplifying sqrt(x + 6) + -1sqrt(x + 1) = sqrt(2x + -5) Reorder the terms: qrst(6 + x) + -1sqrt(x + 1) = sqrt(2x + -5) (6 * qrst + x * qrst) + -1sqrt(x + 1) = sqrt(2x + -5) (6qrst + qrstx) + -1sqrt(x + 1) = sqrt(2x + -5) Reorder the terms: 6qrst + qrstx + -1qrst(1 + x) = sqrt(2x + -5) 6qrst + qrstx + (1 * -1qrst + x * -1qrst) = sqrt(2x + -5) 6qrst + qrstx + (-1qrst + -1qrstx) = sqrt(2x + -5) Reorder the terms: 6qrst + -1qrst + qrstx + -1qrstx = sqrt(2x + -5) Combine like terms: 6qrst + -1qrst = 5qrst 5qrst + qrstx + -1qrstx = sqrt(2x + -5) Combine like terms: qrstx + -1qrstx = 0 5qrst + 0 = sqrt(2x + -5) 5qrst = sqrt(2x + -5) Reorder the terms: 5qrst = qrst(-5 + 2x) 5qrst = (-5 * qrst + 2x * qrst) 5qrst = (-5qrst + 2qrstx) Solving 5qrst = -5qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5qrst' to each side of the equation. 5qrst + 5qrst = -5qrst + 5qrst + 2qrstx Combine like terms: 5qrst + 5qrst = 10qrst 10qrst = -5qrst + 5qrst + 2qrstx Combine like terms: -5qrst + 5qrst = 0 10qrst = 0 + 2qrstx 10qrst = 2qrstx Add '-2qrstx' to each side of the equation. 10qrst + -2qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 10qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(5 + -1x) = 0 Ignore the factor 2.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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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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