sqrt(6x)=sqrt(8x+9)-3

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Solution for sqrt(6x)=sqrt(8x+9)-3 equation:


Simplifying
sqrt(6x) = sqrt(8x + 9) + -3

Remove parenthesis around (6x)
qrst * 6x = sqrt(8x + 9) + -3

Reorder the terms for easier multiplication:
6qrst * x = sqrt(8x + 9) + -3

Multiply qrst * x
6qrstx = sqrt(8x + 9) + -3

Reorder the terms:
6qrstx = qrst(9 + 8x) + -3
6qrstx = (9 * qrst + 8x * qrst) + -3
6qrstx = (9qrst + 8qrstx) + -3

Reorder the terms:
6qrstx = -3 + 9qrst + 8qrstx

Solving
6qrstx = -3 + 9qrst + 8qrstx

Solving for variable 'q'.

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

Add '-9qrst' to each side of the equation.
-9qrst + 6qrstx = -3 + 9qrst + -9qrst + 8qrstx

Combine like terms: 9qrst + -9qrst = 0
-9qrst + 6qrstx = -3 + 0 + 8qrstx
-9qrst + 6qrstx = -3 + 8qrstx

Add '-8qrstx' to each side of the equation.
-9qrst + 6qrstx + -8qrstx = -3 + 8qrstx + -8qrstx

Combine like terms: 6qrstx + -8qrstx = -2qrstx
-9qrst + -2qrstx = -3 + 8qrstx + -8qrstx

Combine like terms: 8qrstx + -8qrstx = 0
-9qrst + -2qrstx = -3 + 0
-9qrst + -2qrstx = -3

Reorder the terms:
3 + -9qrst + -2qrstx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -9qrst + -2qrstx = 0

The solution to this equation could not be determined.

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