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Simplifying sqrt(x + 7) = sqrt(3x + 19) + -1sqrt(x + 2) Reorder the terms: qrst(7 + x) = sqrt(3x + 19) + -1sqrt(x + 2) (7 * qrst + x * qrst) = sqrt(3x + 19) + -1sqrt(x + 2) (7qrst + qrstx) = sqrt(3x + 19) + -1sqrt(x + 2) Reorder the terms: 7qrst + qrstx = qrst(19 + 3x) + -1sqrt(x + 2) 7qrst + qrstx = (19 * qrst + 3x * qrst) + -1sqrt(x + 2) 7qrst + qrstx = (19qrst + 3qrstx) + -1sqrt(x + 2) Reorder the terms: 7qrst + qrstx = 19qrst + 3qrstx + -1qrst(2 + x) 7qrst + qrstx = 19qrst + 3qrstx + (2 * -1qrst + x * -1qrst) 7qrst + qrstx = 19qrst + 3qrstx + (-2qrst + -1qrstx) Reorder the terms: 7qrst + qrstx = 19qrst + -2qrst + 3qrstx + -1qrstx Combine like terms: 19qrst + -2qrst = 17qrst 7qrst + qrstx = 17qrst + 3qrstx + -1qrstx Combine like terms: 3qrstx + -1qrstx = 2qrstx 7qrst + qrstx = 17qrst + 2qrstx Solving 7qrst + qrstx = 17qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17qrst' to each side of the equation. 7qrst + -17qrst + qrstx = 17qrst + -17qrst + 2qrstx Combine like terms: 7qrst + -17qrst = -10qrst -10qrst + qrstx = 17qrst + -17qrst + 2qrstx Combine like terms: 17qrst + -17qrst = 0 -10qrst + qrstx = 0 + 2qrstx -10qrst + qrstx = 2qrstx Add '-2qrstx' to each side of the equation. -10qrst + qrstx + -2qrstx = 2qrstx + -2qrstx Combine like terms: qrstx + -2qrstx = -1qrstx -10qrst + -1qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 -10qrst + -1qrstx = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(10 + x) = 0 Ignore the factor -1.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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -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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