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Simplifying sqrt(2x + 1) + sqrt(x + -3) = sqrt(5x + 4) Reorder the terms: qrst(1 + 2x) + sqrt(x + -3) = sqrt(5x + 4) (1 * qrst + 2x * qrst) + sqrt(x + -3) = sqrt(5x + 4) (1qrst + 2qrstx) + sqrt(x + -3) = sqrt(5x + 4) Reorder the terms: 1qrst + 2qrstx + qrst(-3 + x) = sqrt(5x + 4) 1qrst + 2qrstx + (-3 * qrst + x * qrst) = sqrt(5x + 4) 1qrst + 2qrstx + (-3qrst + qrstx) = sqrt(5x + 4) Reorder the terms: 1qrst + -3qrst + 2qrstx + qrstx = sqrt(5x + 4) Combine like terms: 1qrst + -3qrst = -2qrst -2qrst + 2qrstx + qrstx = sqrt(5x + 4) Combine like terms: 2qrstx + qrstx = 3qrstx -2qrst + 3qrstx = sqrt(5x + 4) Reorder the terms: -2qrst + 3qrstx = qrst(4 + 5x) -2qrst + 3qrstx = (4 * qrst + 5x * qrst) -2qrst + 3qrstx = (4qrst + 5qrstx) Solving -2qrst + 3qrstx = 4qrst + 5qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4qrst' to each side of the equation. -2qrst + -4qrst + 3qrstx = 4qrst + -4qrst + 5qrstx Combine like terms: -2qrst + -4qrst = -6qrst -6qrst + 3qrstx = 4qrst + -4qrst + 5qrstx Combine like terms: 4qrst + -4qrst = 0 -6qrst + 3qrstx = 0 + 5qrstx -6qrst + 3qrstx = 5qrstx Add '-5qrstx' to each side of the equation. -6qrst + 3qrstx + -5qrstx = 5qrstx + -5qrstx Combine like terms: 3qrstx + -5qrstx = -2qrstx -6qrst + -2qrstx = 5qrstx + -5qrstx Combine like terms: 5qrstx + -5qrstx = 0 -6qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '-2qrst'. -2qrst(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -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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