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Simplifying sqrt(4x + 6) + 8 = 6x Reorder the terms: qrst(6 + 4x) + 8 = 6x (6 * qrst + 4x * qrst) + 8 = 6x (6qrst + 4qrstx) + 8 = 6x Reorder the terms: 8 + 6qrst + 4qrstx = 6x Solving 8 + 6qrst + 4qrstx = 6x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 6qrst + -8 + 4qrstx = -8 + 6x Reorder the terms: 8 + -8 + 6qrst + 4qrstx = -8 + 6x Combine like terms: 8 + -8 = 0 0 + 6qrst + 4qrstx = -8 + 6x 6qrst + 4qrstx = -8 + 6x Reorder the terms: 8 + 6qrst + 4qrstx + -6x = -8 + 6x + 8 + -6x Reorder the terms: 8 + 6qrst + 4qrstx + -6x = -8 + 8 + 6x + -6x Combine like terms: -8 + 8 = 0 8 + 6qrst + 4qrstx + -6x = 0 + 6x + -6x 8 + 6qrst + 4qrstx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 8 + 6qrst + 4qrstx + -6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 3qrst + 2qrstx + -3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 3qrst + 2qrstx + -3x)' equal to zero and attempt to solve: Simplifying 4 + 3qrst + 2qrstx + -3x = 0 Solving 4 + 3qrst + 2qrstx + -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 + 3qrst + 2qrstx + -4 + -3x = 0 + -4 Reorder the terms: 4 + -4 + 3qrst + 2qrstx + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3qrst + 2qrstx + -3x = 0 + -4 3qrst + 2qrstx + -3x = 0 + -4 Combine like terms: 0 + -4 = -4 3qrst + 2qrstx + -3x = -4 Add '3x' to each side of the equation. 3qrst + 2qrstx + -3x + 3x = -4 + 3x Combine like terms: -3x + 3x = 0 3qrst + 2qrstx + 0 = -4 + 3x 3qrst + 2qrstx = -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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