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