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