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Simplifying sqrt(x2 + -5) + sqrt(x2 + -3) = sqrt(x + -3) + sqrt(x + 3) Reorder the terms: qrst(-5 + x2) + sqrt(x2 + -3) = sqrt(x + -3) + sqrt(x + 3) (-5 * qrst + x2 * qrst) + sqrt(x2 + -3) = sqrt(x + -3) + sqrt(x + 3) (-5qrst + qrstx2) + sqrt(x2 + -3) = sqrt(x + -3) + sqrt(x + 3) Reorder the terms: -5qrst + qrstx2 + qrst(-3 + x2) = sqrt(x + -3) + sqrt(x + 3) -5qrst + qrstx2 + (-3 * qrst + x2 * qrst) = sqrt(x + -3) + sqrt(x + 3) -5qrst + qrstx2 + (-3qrst + qrstx2) = sqrt(x + -3) + sqrt(x + 3) Reorder the terms: -5qrst + -3qrst + qrstx2 + qrstx2 = sqrt(x + -3) + sqrt(x + 3) Combine like terms: -5qrst + -3qrst = -8qrst -8qrst + qrstx2 + qrstx2 = sqrt(x + -3) + sqrt(x + 3) Combine like terms: qrstx2 + qrstx2 = 2qrstx2 -8qrst + 2qrstx2 = sqrt(x + -3) + sqrt(x + 3) Reorder the terms: -8qrst + 2qrstx2 = qrst(-3 + x) + sqrt(x + 3) -8qrst + 2qrstx2 = (-3 * qrst + x * qrst) + sqrt(x + 3) -8qrst + 2qrstx2 = (-3qrst + qrstx) + sqrt(x + 3) Reorder the terms: -8qrst + 2qrstx2 = -3qrst + qrstx + qrst(3 + x) -8qrst + 2qrstx2 = -3qrst + qrstx + (3 * qrst + x * qrst) -8qrst + 2qrstx2 = -3qrst + qrstx + (3qrst + qrstx) Reorder the terms: -8qrst + 2qrstx2 = -3qrst + 3qrst + qrstx + qrstx Combine like terms: -3qrst + 3qrst = 0 -8qrst + 2qrstx2 = 0 + qrstx + qrstx -8qrst + 2qrstx2 = qrstx + qrstx Combine like terms: qrstx + qrstx = 2qrstx -8qrst + 2qrstx2 = 2qrstx Solving -8qrst + 2qrstx2 = 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qrstx' to each side of the equation. -8qrst + -2qrstx + 2qrstx2 = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 -8qrst + -2qrstx + 2qrstx2 = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-4 + -1x + x2) = 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 '(-4 + -1x + x2)' equal to zero and attempt to solve: Simplifying -4 + -1x + x2 = 0 Solving -4 + -1x + x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1x + 4 + x2 = 0 + 4 Reorder the terms: -4 + 4 + -1x + x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x + x2 = 0 + 4 -1x + x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x + x2 = 4 Add 'x' to each side of the equation. -1x + x + x2 = 4 + x Combine like terms: -1x + x = 0 0 + x2 = 4 + x x2 = 4 + x Add '-1x2' to each side of the equation. x2 + -1x2 = 4 + x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 4 + x + -1x2 Simplifying 0 = 4 + x + -1x2 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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