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Simplifying sqrt(9x + -32) + -1sqrt(2(x + -3)) = sqrt(x + 2) Reorder the terms: qrst(-32 + 9x) + -1sqrt(2(x + -3)) = sqrt(x + 2) (-32 * qrst + 9x * qrst) + -1sqrt(2(x + -3)) = sqrt(x + 2) (-32qrst + 9qrstx) + -1sqrt(2(x + -3)) = sqrt(x + 2) Reorder the terms: -32qrst + 9qrstx + -1qrst(2(-3 + x)) = sqrt(x + 2) -32qrst + 9qrstx + -1qrst((-3 * 2 + x * 2)) = sqrt(x + 2) -32qrst + 9qrstx + -1qrst((-6 + 2x)) = sqrt(x + 2) -32qrst + 9qrstx + (-6 * -1qrst + 2x * -1qrst) = sqrt(x + 2) -32qrst + 9qrstx + (6qrst + -2qrstx) = sqrt(x + 2) Reorder the terms: -32qrst + 6qrst + 9qrstx + -2qrstx = sqrt(x + 2) Combine like terms: -32qrst + 6qrst = -26qrst -26qrst + 9qrstx + -2qrstx = sqrt(x + 2) Combine like terms: 9qrstx + -2qrstx = 7qrstx -26qrst + 7qrstx = sqrt(x + 2) Reorder the terms: -26qrst + 7qrstx = qrst(2 + x) -26qrst + 7qrstx = (2 * qrst + x * qrst) -26qrst + 7qrstx = (2qrst + qrstx) Solving -26qrst + 7qrstx = 2qrst + qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2qrst' to each side of the equation. -26qrst + -2qrst + 7qrstx = 2qrst + -2qrst + qrstx Combine like terms: -26qrst + -2qrst = -28qrst -28qrst + 7qrstx = 2qrst + -2qrst + qrstx Combine like terms: 2qrst + -2qrst = 0 -28qrst + 7qrstx = 0 + qrstx -28qrst + 7qrstx = qrstx Add '-1qrstx' to each side of the equation. -28qrst + 7qrstx + -1qrstx = qrstx + -1qrstx Combine like terms: 7qrstx + -1qrstx = 6qrstx -28qrst + 6qrstx = qrstx + -1qrstx Combine like terms: qrstx + -1qrstx = 0 -28qrst + 6qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-14 + 3x) = 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 '(-14 + 3x)' equal to zero and attempt to solve: Simplifying -14 + 3x = 0 Solving -14 + 3x = 0 Move all terms containing q to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Add '-3x' to each side of the equation. 3x + -3x = 14 + -3x Combine like terms: 3x + -3x = 0 0 = 14 + -3x Simplifying 0 = 14 + -3x 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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