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Simplifying sqrt(4x + 17) = sqrt(6x + 15) Reorder the terms: qrst(17 + 4x) = sqrt(6x + 15) (17 * qrst + 4x * qrst) = sqrt(6x + 15) (17qrst + 4qrstx) = sqrt(6x + 15) Reorder the terms: 17qrst + 4qrstx = qrst(15 + 6x) 17qrst + 4qrstx = (15 * qrst + 6x * qrst) 17qrst + 4qrstx = (15qrst + 6qrstx) Solving 17qrst + 4qrstx = 15qrst + 6qrstx 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. 17qrst + -15qrst + 4qrstx = 15qrst + -15qrst + 6qrstx Combine like terms: 17qrst + -15qrst = 2qrst 2qrst + 4qrstx = 15qrst + -15qrst + 6qrstx Combine like terms: 15qrst + -15qrst = 0 2qrst + 4qrstx = 0 + 6qrstx 2qrst + 4qrstx = 6qrstx Add '-6qrstx' to each side of the equation. 2qrst + 4qrstx + -6qrstx = 6qrstx + -6qrstx Combine like terms: 4qrstx + -6qrstx = -2qrstx 2qrst + -2qrstx = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 2qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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