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Simplifying sqrt(8x + 1) + sqrt(3x + -5) = sqrt(7x + 4) + sqrt(2x + -2) Reorder the terms: qrst(1 + 8x) + sqrt(3x + -5) = sqrt(7x + 4) + sqrt(2x + -2) (1 * qrst + 8x * qrst) + sqrt(3x + -5) = sqrt(7x + 4) + sqrt(2x + -2) (1qrst + 8qrstx) + sqrt(3x + -5) = sqrt(7x + 4) + sqrt(2x + -2) Reorder the terms: 1qrst + 8qrstx + qrst(-5 + 3x) = sqrt(7x + 4) + sqrt(2x + -2) 1qrst + 8qrstx + (-5 * qrst + 3x * qrst) = sqrt(7x + 4) + sqrt(2x + -2) 1qrst + 8qrstx + (-5qrst + 3qrstx) = sqrt(7x + 4) + sqrt(2x + -2) Reorder the terms: 1qrst + -5qrst + 8qrstx + 3qrstx = sqrt(7x + 4) + sqrt(2x + -2) Combine like terms: 1qrst + -5qrst = -4qrst -4qrst + 8qrstx + 3qrstx = sqrt(7x + 4) + sqrt(2x + -2) Combine like terms: 8qrstx + 3qrstx = 11qrstx -4qrst + 11qrstx = sqrt(7x + 4) + sqrt(2x + -2) Reorder the terms: -4qrst + 11qrstx = qrst(4 + 7x) + sqrt(2x + -2) -4qrst + 11qrstx = (4 * qrst + 7x * qrst) + sqrt(2x + -2) -4qrst + 11qrstx = (4qrst + 7qrstx) + sqrt(2x + -2) Reorder the terms: -4qrst + 11qrstx = 4qrst + 7qrstx + qrst(-2 + 2x) -4qrst + 11qrstx = 4qrst + 7qrstx + (-2 * qrst + 2x * qrst) -4qrst + 11qrstx = 4qrst + 7qrstx + (-2qrst + 2qrstx) Reorder the terms: -4qrst + 11qrstx = 4qrst + -2qrst + 7qrstx + 2qrstx Combine like terms: 4qrst + -2qrst = 2qrst -4qrst + 11qrstx = 2qrst + 7qrstx + 2qrstx Combine like terms: 7qrstx + 2qrstx = 9qrstx -4qrst + 11qrstx = 2qrst + 9qrstx Solving -4qrst + 11qrstx = 2qrst + 9qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qrst' to each side of the equation. -4qrst + -2qrst + 11qrstx = 2qrst + -2qrst + 9qrstx Combine like terms: -4qrst + -2qrst = -6qrst -6qrst + 11qrstx = 2qrst + -2qrst + 9qrstx Combine like terms: 2qrst + -2qrst = 0 -6qrst + 11qrstx = 0 + 9qrstx -6qrst + 11qrstx = 9qrstx Add '-9qrstx' to each side of the equation. -6qrst + 11qrstx + -9qrstx = 9qrstx + -9qrstx Combine like terms: 11qrstx + -9qrstx = 2qrstx -6qrst + 2qrstx = 9qrstx + -9qrstx Combine like terms: 9qrstx + -9qrstx = 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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