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Simplifying sqrt(6x + -20) + -1sqrt(2x + -8) = 2 Reorder the terms: qrst(-20 + 6x) + -1sqrt(2x + -8) = 2 (-20 * qrst + 6x * qrst) + -1sqrt(2x + -8) = 2 (-20qrst + 6qrstx) + -1sqrt(2x + -8) = 2 Reorder the terms: -20qrst + 6qrstx + -1qrst(-8 + 2x) = 2 -20qrst + 6qrstx + (-8 * -1qrst + 2x * -1qrst) = 2 -20qrst + 6qrstx + (8qrst + -2qrstx) = 2 Reorder the terms: -20qrst + 8qrst + 6qrstx + -2qrstx = 2 Combine like terms: -20qrst + 8qrst = -12qrst -12qrst + 6qrstx + -2qrstx = 2 Combine like terms: 6qrstx + -2qrstx = 4qrstx -12qrst + 4qrstx = 2 Solving -12qrst + 4qrstx = 2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Reorder the terms: -2 + -12qrst + 4qrstx = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -12qrst + 4qrstx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + -6qrst + 2qrstx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -6qrst + 2qrstx)' equal to zero and attempt to solve: Simplifying -1 + -6qrst + 2qrstx = 0 Solving -1 + -6qrst + 2qrstx = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6qrst + 1 + 2qrstx = 0 + 1 Reorder the terms: -1 + 1 + -6qrst + 2qrstx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6qrst + 2qrstx = 0 + 1 -6qrst + 2qrstx = 0 + 1 Combine like terms: 0 + 1 = 1 -6qrst + 2qrstx = 1 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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