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Simplifying sqrt(5x + 20) = sqrt(x) + sqrt(x + 15) Reorder the terms: qrst(20 + 5x) = sqrt(x) + sqrt(x + 15) (20 * qrst + 5x * qrst) = sqrt(x) + sqrt(x + 15) (20qrst + 5qrstx) = sqrt(x) + sqrt(x + 15) Multiply qrst * x 20qrst + 5qrstx = qrstx + sqrt(x + 15) Reorder the terms: 20qrst + 5qrstx = qrstx + qrst(15 + x) 20qrst + 5qrstx = qrstx + (15 * qrst + x * qrst) 20qrst + 5qrstx = qrstx + (15qrst + qrstx) Reorder the terms: 20qrst + 5qrstx = 15qrst + qrstx + qrstx Combine like terms: qrstx + qrstx = 2qrstx 20qrst + 5qrstx = 15qrst + 2qrstx Solving 20qrst + 5qrstx = 15qrst + 2qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15qrst' to each side of the equation. 20qrst + -15qrst + 5qrstx = 15qrst + -15qrst + 2qrstx Combine like terms: 20qrst + -15qrst = 5qrst 5qrst + 5qrstx = 15qrst + -15qrst + 2qrstx Combine like terms: 15qrst + -15qrst = 0 5qrst + 5qrstx = 0 + 2qrstx 5qrst + 5qrstx = 2qrstx Add '-2qrstx' to each side of the equation. 5qrst + 5qrstx + -2qrstx = 2qrstx + -2qrstx Combine like terms: 5qrstx + -2qrstx = 3qrstx 5qrst + 3qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 5qrst + 3qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(5 + 3x) = 0Subproblem 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Add '-3x' to each side of the equation. 3x + -3x = -5 + -3x Combine like terms: 3x + -3x = 0 0 = -5 + -3x Simplifying 0 = -5 + -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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