sqrt(6v+11)=sqrt(9v-2)

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Solution for sqrt(6v+11)=sqrt(9v-2) equation: 


Simplifying
sqrt(6v + 11) = sqrt(9v + -2)

Reorder the terms:
qrst(11 + 6v) = sqrt(9v + -2)
(11 * qrst + 6v * qrst) = sqrt(9v + -2)
(11qrst + 6qrstv) = sqrt(9v + -2)

Reorder the terms:
11qrst + 6qrstv = qrst(-2 + 9v)
11qrst + 6qrstv = (-2 * qrst + 9v * qrst)
11qrst + 6qrstv = (-2qrst + 9qrstv)

Solving
11qrst + 6qrstv = -2qrst + 9qrstv

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '2qrst' to each side of the equation.
11qrst + 2qrst + 6qrstv = -2qrst + 2qrst + 9qrstv

Combine like terms: 11qrst + 2qrst = 13qrst
13qrst + 6qrstv = -2qrst + 2qrst + 9qrstv

Combine like terms: -2qrst + 2qrst = 0
13qrst + 6qrstv = 0 + 9qrstv
13qrst + 6qrstv = 9qrstv

Add '-9qrstv' to each side of the equation.
13qrst + 6qrstv + -9qrstv = 9qrstv + -9qrstv

Combine like terms: 6qrstv + -9qrstv = -3qrstv
13qrst + -3qrstv = 9qrstv + -9qrstv

Combine like terms: 9qrstv + -9qrstv = 0
13qrst + -3qrstv = 0

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(13 + -3v) = 0


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 '(13 + -3v)' equal to zero and attempt to solve:

Simplifying
13 + -3v = 0

Solving
13 + -3v = 0

Move all terms containing q to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + -3v = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3v = 0 + -13
-3v = 0 + -13

Combine like terms: 0 + -13 = -13
-3v = -13

Add '3v' to each side of the equation.
-3v + 3v = -13 + 3v

Combine like terms: -3v + 3v = 0
0 = -13 + 3v

Simplifying
0 = -13 + 3v

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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