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Simplifying sqrt(x + 12) + sqrt(2x + -11) = sqrt(6x + -3) Reorder the terms: qrst(12 + x) + sqrt(2x + -11) = sqrt(6x + -3) (12 * qrst + x * qrst) + sqrt(2x + -11) = sqrt(6x + -3) (12qrst + qrstx) + sqrt(2x + -11) = sqrt(6x + -3) Reorder the terms: 12qrst + qrstx + qrst(-11 + 2x) = sqrt(6x + -3) 12qrst + qrstx + (-11 * qrst + 2x * qrst) = sqrt(6x + -3) 12qrst + qrstx + (-11qrst + 2qrstx) = sqrt(6x + -3) Reorder the terms: 12qrst + -11qrst + qrstx + 2qrstx = sqrt(6x + -3) Combine like terms: 12qrst + -11qrst = 1qrst 1qrst + qrstx + 2qrstx = sqrt(6x + -3) Combine like terms: qrstx + 2qrstx = 3qrstx 1qrst + 3qrstx = sqrt(6x + -3) Reorder the terms: 1qrst + 3qrstx = qrst(-3 + 6x) 1qrst + 3qrstx = (-3 * qrst + 6x * qrst) 1qrst + 3qrstx = (-3qrst + 6qrstx) Solving 1qrst + 3qrstx = -3qrst + 6qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3qrst' to each side of the equation. 1qrst + 3qrst + 3qrstx = -3qrst + 3qrst + 6qrstx Combine like terms: 1qrst + 3qrst = 4qrst 4qrst + 3qrstx = -3qrst + 3qrst + 6qrstx Combine like terms: -3qrst + 3qrst = 0 4qrst + 3qrstx = 0 + 6qrstx 4qrst + 3qrstx = 6qrstx Add '-6qrstx' to each side of the equation. 4qrst + 3qrstx + -6qrstx = 6qrstx + -6qrstx Combine like terms: 3qrstx + -6qrstx = -3qrstx 4qrst + -3qrstx = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 4qrst + -3qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(4 + -3x) = 0Subproblem 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 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Add '3x' to each side of the equation. -3x + 3x = -4 + 3x Combine like terms: -3x + 3x = 0 0 = -4 + 3x Simplifying 0 = -4 + 3x 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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