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Simplifying sqrt(5x + -8) = 2sqrt(2x + -5) Reorder the terms: qrst(-8 + 5x) = 2sqrt(2x + -5) (-8 * qrst + 5x * qrst) = 2sqrt(2x + -5) (-8qrst + 5qrstx) = 2sqrt(2x + -5) Reorder the terms: -8qrst + 5qrstx = 2qrst(-5 + 2x) -8qrst + 5qrstx = (-5 * 2qrst + 2x * 2qrst) -8qrst + 5qrstx = (-10qrst + 4qrstx) Solving -8qrst + 5qrstx = -10qrst + 4qrstx Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10qrst' to each side of the equation. -8qrst + 10qrst + 5qrstx = -10qrst + 10qrst + 4qrstx Combine like terms: -8qrst + 10qrst = 2qrst 2qrst + 5qrstx = -10qrst + 10qrst + 4qrstx Combine like terms: -10qrst + 10qrst = 0 2qrst + 5qrstx = 0 + 4qrstx 2qrst + 5qrstx = 4qrstx Add '-4qrstx' to each side of the equation. 2qrst + 5qrstx + -4qrstx = 4qrstx + -4qrstx Combine like terms: 5qrstx + -4qrstx = 1qrstx 2qrst + 1qrstx = 4qrstx + -4qrstx Combine like terms: 4qrstx + -4qrstx = 0 2qrst + 1qrstx = 0 Factor out the Greatest Common Factor (GCF), 'qrst'. qrst(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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