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