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