Sqrt(11-v)=sqrt(3v-13)

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Solution for Sqrt(11-v)=sqrt(3v-13) equation:


Simplifying
Sqrt(11 + -1v) = sqrt(3v + -13)
(11 * qrtS + -1v * qrtS) = sqrt(3v + -13)
(11qrtS + -1qrtvS) = sqrt(3v + -13)

Reorder the terms:
11qrtS + -1qrtvS = qrst(-13 + 3v)
11qrtS + -1qrtvS = (-13 * qrst + 3v * qrst)
11qrtS + -1qrtvS = (-13qrst + 3qrstv)

Solving
11qrtS + -1qrtvS = -13qrst + 3qrstv

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.
11qrtS + 13qrst + -1qrtvS = -13qrst + 13qrst + 3qrstv

Reorder the terms:
13qrst + 11qrtS + -1qrtvS = -13qrst + 13qrst + 3qrstv

Combine like terms: -13qrst + 13qrst = 0
13qrst + 11qrtS + -1qrtvS = 0 + 3qrstv
13qrst + 11qrtS + -1qrtvS = 3qrstv

Add '-3qrstv' to each side of the equation.
13qrst + 11qrtS + -3qrstv + -1qrtvS = 3qrstv + -3qrstv

Reorder the terms:
13qrst + -3qrstv + 11qrtS + -1qrtvS = 3qrstv + -3qrstv

Combine like terms: 3qrstv + -3qrstv = 0
13qrst + -3qrstv + 11qrtS + -1qrtvS = 0

Factor out the Greatest Common Factor (GCF), 'qrt'.
qrt(13s + -3sv + 11S + -1vS) = 0

Subproblem 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 '(13s + -3sv + 11S + -1vS)' equal to zero and attempt to solve: Simplifying 13s + -3sv + 11S + -1vS = 0 Reorder the terms: 11S + 13s + -3sv + -1vS = 0 Solving 11S + 13s + -3sv + -1vS = 0 Move all terms containing q to the left, all other terms to the right. Add '-11S' to each side of the equation. 11S + 13s + -3sv + -11S + -1vS = 0 + -11S Reorder the terms: 11S + -11S + 13s + -3sv + -1vS = 0 + -11S Combine like terms: 11S + -11S = 0 0 + 13s + -3sv + -1vS = 0 + -11S 13s + -3sv + -1vS = 0 + -11S Remove the zero: 13s + -3sv + -1vS = -11S Add '-13s' to each side of the equation. 13s + -3sv + -13s + -1vS = -11S + -13s Reorder the terms: 13s + -13s + -3sv + -1vS = -11S + -13s Combine like terms: 13s + -13s = 0 0 + -3sv + -1vS = -11S + -13s -3sv + -1vS = -11S + -13s Add '3sv' to each side of the equation. -3sv + 3sv + -1vS = -11S + -13s + 3sv Combine like terms: -3sv + 3sv = 0 0 + -1vS = -11S + -13s + 3sv -1vS = -11S + -13s + 3sv Add 'vS' to each side of the equation. -1vS + vS = -11S + -13s + 3sv + vS Combine like terms: -1vS + vS = 0 0 = -11S + -13s + 3sv + vS Simplifying 0 = -11S + -13s + 3sv + vS 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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