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Simplifying sqrt(4x + 3) = sqrt(2x + 15) Reorder the terms: qrst(3 + 4x) = sqrt(2x + 15) (3 * qrst + 4x * qrst) = sqrt(2x + 15) (3qrst + 4qrstx) = sqrt(2x + 15) Reorder the terms: 3qrst + 4qrstx = qrst(15 + 2x) 3qrst + 4qrstx = (15 * qrst + 2x * qrst) 3qrst + 4qrstx = (15qrst + 2qrstx) Solving 3qrst + 4qrstx = 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. 3qrst + -15qrst + 4qrstx = 15qrst + -15qrst + 2qrstx Combine like terms: 3qrst + -15qrst = -12qrst -12qrst + 4qrstx = 15qrst + -15qrst + 2qrstx Combine like terms: 15qrst + -15qrst = 0 -12qrst + 4qrstx = 0 + 2qrstx -12qrst + 4qrstx = 2qrstx Add '-2qrstx' to each side of the equation. -12qrst + 4qrstx + -2qrstx = 2qrstx + -2qrstx Combine like terms: 4qrstx + -2qrstx = 2qrstx -12qrst + 2qrstx = 2qrstx + -2qrstx Combine like terms: 2qrstx + -2qrstx = 0 -12qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-6 + 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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Add '-1x' to each side of the equation. x + -1x = 6 + -1x Combine like terms: x + -1x = 0 0 = 6 + -1x Simplifying 0 = 6 + -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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