9-sqrt(x-9)=sqrt(7x-6)

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Solution for 9-sqrt(x-9)=sqrt(7x-6) equation: 


Simplifying
9 + -1sqrt(x + -9) = sqrt(7x + -6)

Reorder the terms:
9 + -1qrst(-9 + x) = sqrt(7x + -6)
9 + (-9 * -1qrst + x * -1qrst) = sqrt(7x + -6)
9 + (9qrst + -1qrstx) = sqrt(7x + -6)

Reorder the terms:
9 + 9qrst + -1qrstx = qrst(-6 + 7x)
9 + 9qrst + -1qrstx = (-6 * qrst + 7x * qrst)
9 + 9qrst + -1qrstx = (-6qrst + 7qrstx)

Solving
9 + 9qrst + -1qrstx = -6qrst + 7qrstx

Solving for variable 'q'.

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

Add '6qrst' to each side of the equation.
9 + 9qrst + 6qrst + -1qrstx = -6qrst + 6qrst + 7qrstx

Combine like terms: 9qrst + 6qrst = 15qrst
9 + 15qrst + -1qrstx = -6qrst + 6qrst + 7qrstx

Combine like terms: -6qrst + 6qrst = 0
9 + 15qrst + -1qrstx = 0 + 7qrstx
9 + 15qrst + -1qrstx = 7qrstx

Add '-7qrstx' to each side of the equation.
9 + 15qrst + -1qrstx + -7qrstx = 7qrstx + -7qrstx

Combine like terms: -1qrstx + -7qrstx = -8qrstx
9 + 15qrst + -8qrstx = 7qrstx + -7qrstx

Combine like terms: 7qrstx + -7qrstx = 0
9 + 15qrst + -8qrstx = 0

Add '-9' to each side of the equation.
9 + 15qrst + -9 + -8qrstx = 0 + -9

Reorder the terms:
9 + -9 + 15qrst + -8qrstx = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 15qrst + -8qrstx = 0 + -9
15qrst + -8qrstx = 0 + -9

Combine like terms: 0 + -9 = -9
15qrst + -8qrstx = -9

Reorder the terms:
9 + 15qrst + -8qrstx = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 15qrst + -8qrstx = 0

The solution to this equation could not be determined.

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