sqrt(8*x+9)-sqrt(6*x-5)=2

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Solution for sqrt(8*x+9)-sqrt(6*x-5)=2 equation: 


Simplifying
sqrt(8x + 9) + -1sqrt(6x + -5) = 2

Reorder the terms:
qrst(9 + 8x) + -1sqrt(6x + -5) = 2
(9 * qrst + 8x * qrst) + -1sqrt(6x + -5) = 2
(9qrst + 8qrstx) + -1sqrt(6x + -5) = 2

Reorder the terms:
9qrst + 8qrstx + -1qrst(-5 + 6x) = 2
9qrst + 8qrstx + (-5 * -1qrst + 6x * -1qrst) = 2
9qrst + 8qrstx + (5qrst + -6qrstx) = 2

Reorder the terms:
9qrst + 5qrst + 8qrstx + -6qrstx = 2

Combine like terms: 9qrst + 5qrst = 14qrst
14qrst + 8qrstx + -6qrstx = 2

Combine like terms: 8qrstx + -6qrstx = 2qrstx
14qrst + 2qrstx = 2

Solving
14qrst + 2qrstx = 2

Solving for variable 'q'.

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

Reorder the terms:
-2 + 14qrst + 2qrstx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 14qrst + 2qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 7qrst + qrstx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 7qrst + qrstx)' equal to zero and attempt to solve:

Simplifying
-1 + 7qrst + qrstx = 0

Solving
-1 + 7qrst + qrstx = 0

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

Add '1' to each side of the equation.
-1 + 7qrst + 1 + qrstx = 0 + 1

Reorder the terms:
-1 + 1 + 7qrst + qrstx = 0 + 1

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

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

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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