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Simplifying 2sqrt(2x + 5) = sqrt(5x + 29) Reorder the terms: 2qrst(5 + 2x) = sqrt(5x + 29) (5 * 2qrst + 2x * 2qrst) = sqrt(5x + 29) (10qrst + 4qrstx) = sqrt(5x + 29) Reorder the terms: 10qrst + 4qrstx = qrst(29 + 5x) 10qrst + 4qrstx = (29 * qrst + 5x * qrst) 10qrst + 4qrstx = (29qrst + 5qrstx) Solving 10qrst + 4qrstx = 29qrst + 5qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-29qrst' to each side of the equation. 10qrst + -29qrst + 4qrstx = 29qrst + -29qrst + 5qrstx Combine like terms: 10qrst + -29qrst = -19qrst -19qrst + 4qrstx = 29qrst + -29qrst + 5qrstx Combine like terms: 29qrst + -29qrst = 0 -19qrst + 4qrstx = 0 + 5qrstx -19qrst + 4qrstx = 5qrstx Add '-5qrstx' to each side of the equation. -19qrst + 4qrstx + -5qrstx = 5qrstx + -5qrstx Combine like terms: 4qrstx + -5qrstx = -1qrstx -19qrst + -1qrstx = 5qrstx + -5qrstx Combine like terms: 5qrstx + -5qrstx = 0 -19qrst + -1qrstx = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(19 + 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 '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Add '-1x' to each side of the equation. x + -1x = -19 + -1x Combine like terms: x + -1x = 0 0 = -19 + -1x Simplifying 0 = -19 + -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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