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Simplifying sqrt(3x2 + 1) + sqrt(x2 + 3) = sqrt(6x2 + 10) Reorder the terms: qrst(1 + 3x2) + sqrt(x2 + 3) = sqrt(6x2 + 10) (1 * qrst + 3x2 * qrst) + sqrt(x2 + 3) = sqrt(6x2 + 10) (1qrst + 3qrstx2) + sqrt(x2 + 3) = sqrt(6x2 + 10) Reorder the terms: 1qrst + 3qrstx2 + qrst(3 + x2) = sqrt(6x2 + 10) 1qrst + 3qrstx2 + (3 * qrst + x2 * qrst) = sqrt(6x2 + 10) 1qrst + 3qrstx2 + (3qrst + qrstx2) = sqrt(6x2 + 10) Reorder the terms: 1qrst + 3qrst + 3qrstx2 + qrstx2 = sqrt(6x2 + 10) Combine like terms: 1qrst + 3qrst = 4qrst 4qrst + 3qrstx2 + qrstx2 = sqrt(6x2 + 10) Combine like terms: 3qrstx2 + qrstx2 = 4qrstx2 4qrst + 4qrstx2 = sqrt(6x2 + 10) Reorder the terms: 4qrst + 4qrstx2 = qrst(10 + 6x2) 4qrst + 4qrstx2 = (10 * qrst + 6x2 * qrst) 4qrst + 4qrstx2 = (10qrst + 6qrstx2) Solving 4qrst + 4qrstx2 = 10qrst + 6qrstx2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10qrst' to each side of the equation. 4qrst + -10qrst + 4qrstx2 = 10qrst + -10qrst + 6qrstx2 Combine like terms: 4qrst + -10qrst = -6qrst -6qrst + 4qrstx2 = 10qrst + -10qrst + 6qrstx2 Combine like terms: 10qrst + -10qrst = 0 -6qrst + 4qrstx2 = 0 + 6qrstx2 -6qrst + 4qrstx2 = 6qrstx2 Add '-6qrstx2' to each side of the equation. -6qrst + 4qrstx2 + -6qrstx2 = 6qrstx2 + -6qrstx2 Combine like terms: 4qrstx2 + -6qrstx2 = -2qrstx2 -6qrst + -2qrstx2 = 6qrstx2 + -6qrstx2 Combine like terms: 6qrstx2 + -6qrstx2 = 0 -6qrst + -2qrstx2 = 0 Factor out the Greatest Common Factor (GCF), '-2qrst'. -2qrst(3 + x2) = 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 '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Add '-1x2' to each side of the equation. x2 + -1x2 = -3 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -3 + -1x2 Simplifying 0 = -3 + -1x2 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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