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

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


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

Remove parenthesis around (9v)
qrst * 9v + 2 = sqrt(6v) + 11

Reorder the terms for easier multiplication:
9qrst * v + 2 = sqrt(6v) + 11

Multiply qrst * v
9qrstv + 2 = sqrt(6v) + 11

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

Remove parenthesis around (6v)
2 + 9qrstv = qrst * 6v + 11

Reorder the terms for easier multiplication:
2 + 9qrstv = 6qrst * v + 11

Multiply qrst * v
2 + 9qrstv = 6qrstv + 11

Reorder the terms:
2 + 9qrstv = 11 + 6qrstv

Solving
2 + 9qrstv = 11 + 6qrstv

Solving for variable 'q'.

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

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

Combine like terms: 9qrstv + -6qrstv = 3qrstv
2 + 3qrstv = 11 + 6qrstv + -6qrstv

Combine like terms: 6qrstv + -6qrstv = 0
2 + 3qrstv = 11 + 0
2 + 3qrstv = 11

Add '-2' to each side of the equation.
2 + -2 + 3qrstv = 11 + -2

Combine like terms: 2 + -2 = 0
0 + 3qrstv = 11 + -2
3qrstv = 11 + -2

Combine like terms: 11 + -2 = 9
3qrstv = 9

Divide each side by '3rstv'.
q = 3r-1s-1t-1v-1

Simplifying
q = 3r-1s-1t-1v-1

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