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Simplifying sqrt(4x + 7) = sqrt(6x + 15) Reorder the terms: qrst(7 + 4x) = sqrt(6x + 15) (7 * qrst + 4x * qrst) = sqrt(6x + 15) (7qrst + 4qrstx) = sqrt(6x + 15) Reorder the terms: 7qrst + 4qrstx = qrst(15 + 6x) 7qrst + 4qrstx = (15 * qrst + 6x * qrst) 7qrst + 4qrstx = (15qrst + 6qrstx) Solving 7qrst + 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. 7qrst + -15qrst + 4qrstx = 15qrst + -15qrst + 6qrstx Combine like terms: 7qrst + -15qrst = -8qrst -8qrst + 4qrstx = 15qrst + -15qrst + 6qrstx Combine like terms: 15qrst + -15qrst = 0 -8qrst + 4qrstx = 0 + 6qrstx -8qrst + 4qrstx = 6qrstx Add '-6qrstx' to each side of the equation. -8qrst + 4qrstx + -6qrstx = 6qrstx + -6qrstx Combine like terms: 4qrstx + -6qrstx = -2qrstx -8qrst + -2qrstx = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 -8qrst + -2qrstx = 0 Factor out the Greatest Common Factor (GCF), '-2qrst'. -2qrst(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Add '-1x' to each side of the equation. x + -1x = -4 + -1x Combine like terms: x + -1x = 0 0 = -4 + -1x Simplifying 0 = -4 + -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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