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Simplifying sqrt(8x + 3) = sqrt(6x + 13) Reorder the terms: qrst(3 + 8x) = sqrt(6x + 13) (3 * qrst + 8x * qrst) = sqrt(6x + 13) (3qrst + 8qrstx) = sqrt(6x + 13) Reorder the terms: 3qrst + 8qrstx = qrst(13 + 6x) 3qrst + 8qrstx = (13 * qrst + 6x * qrst) 3qrst + 8qrstx = (13qrst + 6qrstx) Solving 3qrst + 8qrstx = 13qrst + 6qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13qrst' to each side of the equation. 3qrst + -13qrst + 8qrstx = 13qrst + -13qrst + 6qrstx Combine like terms: 3qrst + -13qrst = -10qrst -10qrst + 8qrstx = 13qrst + -13qrst + 6qrstx Combine like terms: 13qrst + -13qrst = 0 -10qrst + 8qrstx = 0 + 6qrstx -10qrst + 8qrstx = 6qrstx Add '-6qrstx' to each side of the equation. -10qrst + 8qrstx + -6qrstx = 6qrstx + -6qrstx Combine like terms: 8qrstx + -6qrstx = 2qrstx -10qrst + 2qrstx = 6qrstx + -6qrstx Combine like terms: 6qrstx + -6qrstx = 0 -10qrst + 2qrstx = 0 Factor out the Greatest Common Factor (GCF), '2qrst'. 2qrst(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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