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Simplifying sqrt(4x + -1) + sqrt(4x2 + -1) = 0 Reorder the terms: qrst(-1 + 4x) + sqrt(4x2 + -1) = 0 (-1 * qrst + 4x * qrst) + sqrt(4x2 + -1) = 0 (-1qrst + 4qrstx) + sqrt(4x2 + -1) = 0 Reorder the terms: -1qrst + 4qrstx + qrst(-1 + 4x2) = 0 -1qrst + 4qrstx + (-1 * qrst + 4x2 * qrst) = 0 -1qrst + 4qrstx + (-1qrst + 4qrstx2) = 0 Reorder the terms: -1qrst + -1qrst + 4qrstx + 4qrstx2 = 0 Combine like terms: -1qrst + -1qrst = -2qrst -2qrst + 4qrstx + 4qrstx2 = 0 Solving -2qrst + 4qrstx + 4qrstx2 = 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 + 2x + 2x2) = 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 + 2x + 2x2)' equal to zero and attempt to solve: Simplifying -1 + 2x + 2x2 = 0 Solving -1 + 2x + 2x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 1 + 2x2 = 0 + 1 Reorder the terms: -1 + 1 + 2x + 2x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + 2x2 = 0 + 1 2x + 2x2 = 0 + 1 Combine like terms: 0 + 1 = 1 2x + 2x2 = 1 Add '-2x' to each side of the equation. 2x + -2x + 2x2 = 1 + -2x Combine like terms: 2x + -2x = 0 0 + 2x2 = 1 + -2x 2x2 = 1 + -2x Add '-2x2' to each side of the equation. 2x2 + -2x2 = 1 + -2x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 1 + -2x + -2x2 Simplifying 0 = 1 + -2x + -2x2 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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