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