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Simplifying Sqrt(2x + -3) + -1sqrt(2x + 8) = 0 Reorder the terms: qrtS(-3 + 2x) + -1sqrt(2x + 8) = 0 (-3 * qrtS + 2x * qrtS) + -1sqrt(2x + 8) = 0 (-3qrtS + 2qrtxS) + -1sqrt(2x + 8) = 0 Reorder the terms: -3qrtS + 2qrtxS + -1qrst(8 + 2x) = 0 -3qrtS + 2qrtxS + (8 * -1qrst + 2x * -1qrst) = 0 -3qrtS + 2qrtxS + (-8qrst + -2qrstx) = 0 Reorder the terms: -8qrst + -2qrstx + -3qrtS + 2qrtxS = 0 Solving -8qrst + -2qrstx + -3qrtS + 2qrtxS = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'qrt'. qrt(-8s + -2sx + -3S + 2xS) = 0Subproblem 1
Set the factor 'qrt' equal to zero and attempt to solve: Simplifying qrt = 0 Solving qrt = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrt = 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 '(-8s + -2sx + -3S + 2xS)' equal to zero and attempt to solve: Simplifying -8s + -2sx + -3S + 2xS = 0 Reorder the terms: -3S + -8s + -2sx + 2xS = 0 Solving -3S + -8s + -2sx + 2xS = 0 Move all terms containing q to the left, all other terms to the right. Add '3S' to each side of the equation. -3S + -8s + -2sx + 3S + 2xS = 0 + 3S Reorder the terms: -3S + 3S + -8s + -2sx + 2xS = 0 + 3S Combine like terms: -3S + 3S = 0 0 + -8s + -2sx + 2xS = 0 + 3S -8s + -2sx + 2xS = 0 + 3S Remove the zero: -8s + -2sx + 2xS = 3S Add '8s' to each side of the equation. -8s + -2sx + 8s + 2xS = 3S + 8s Reorder the terms: -8s + 8s + -2sx + 2xS = 3S + 8s Combine like terms: -8s + 8s = 0 0 + -2sx + 2xS = 3S + 8s -2sx + 2xS = 3S + 8s Add '2sx' to each side of the equation. -2sx + 2sx + 2xS = 3S + 8s + 2sx Combine like terms: -2sx + 2sx = 0 0 + 2xS = 3S + 8s + 2sx 2xS = 3S + 8s + 2sx Add '-2xS' to each side of the equation. 2xS + -2xS = 3S + 8s + 2sx + -2xS Combine like terms: 2xS + -2xS = 0 0 = 3S + 8s + 2sx + -2xS Simplifying 0 = 3S + 8s + 2sx + -2xS 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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