sqrt(7x+9)+6=5+sqrt(9x+16)

Solution for sqrt(7x+9)+6=5+sqrt(9x+16) equation:

Simplifying
sqrt(7x + 9) + 6 = 5 + sqrt(9x + 16)

Reorder the terms:
qrst(9 + 7x) + 6 = 5 + sqrt(9x + 16)
(9 * qrst + 7x * qrst) + 6 = 5 + sqrt(9x + 16)
(9qrst + 7qrstx) + 6 = 5 + sqrt(9x + 16)

Reorder the terms:
6 + 9qrst + 7qrstx = 5 + sqrt(9x + 16)

Reorder the terms:
6 + 9qrst + 7qrstx = 5 + qrst(16 + 9x)
6 + 9qrst + 7qrstx = 5 + (16 * qrst + 9x * qrst)
6 + 9qrst + 7qrstx = 5 + (16qrst + 9qrstx)

Solving
6 + 9qrst + 7qrstx = 5 + 16qrst + 9qrstx

Solving for variable 'q'.

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

Add '-16qrst' to each side of the equation.
6 + 9qrst + -16qrst + 7qrstx = 5 + 16qrst + -16qrst + 9qrstx

Combine like terms: 9qrst + -16qrst = -7qrst
6 + -7qrst + 7qrstx = 5 + 16qrst + -16qrst + 9qrstx

Combine like terms: 16qrst + -16qrst = 0
6 + -7qrst + 7qrstx = 5 + 0 + 9qrstx
6 + -7qrst + 7qrstx = 5 + 9qrstx

Add '-9qrstx' to each side of the equation.
6 + -7qrst + 7qrstx + -9qrstx = 5 + 9qrstx + -9qrstx

Combine like terms: 7qrstx + -9qrstx = -2qrstx
6 + -7qrst + -2qrstx = 5 + 9qrstx + -9qrstx

Combine like terms: 9qrstx + -9qrstx = 0
6 + -7qrst + -2qrstx = 5 + 0
6 + -7qrst + -2qrstx = 5

Add '-6' to each side of the equation.
6 + -7qrst + -6 + -2qrstx = 5 + -6

Reorder the terms:
6 + -6 + -7qrst + -2qrstx = 5 + -6

Combine like terms: 6 + -6 = 0
0 + -7qrst + -2qrstx = 5 + -6
-7qrst + -2qrstx = 5 + -6

Combine like terms: 5 + -6 = -1
-7qrst + -2qrstx = -1

Reorder the terms:
1 + -7qrst + -2qrstx = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -7qrst + -2qrstx = 0

The solution to this equation could not be determined.