sqrt(2x-1)+sqrt(4x+5)=8

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Solution for sqrt(2x-1)+sqrt(4x+5)=8 equation: 


Simplifying
sqrt(2x + -1) + sqrt(4x + 5) = 8

Reorder the terms:
qrst(-1 + 2x) + sqrt(4x + 5) = 8
(-1 * qrst + 2x * qrst) + sqrt(4x + 5) = 8
(-1qrst + 2qrstx) + sqrt(4x + 5) = 8

Reorder the terms:
-1qrst + 2qrstx + qrst(5 + 4x) = 8
-1qrst + 2qrstx + (5 * qrst + 4x * qrst) = 8
-1qrst + 2qrstx + (5qrst + 4qrstx) = 8

Reorder the terms:
-1qrst + 5qrst + 2qrstx + 4qrstx = 8

Combine like terms: -1qrst + 5qrst = 4qrst
4qrst + 2qrstx + 4qrstx = 8

Combine like terms: 2qrstx + 4qrstx = 6qrstx
4qrst + 6qrstx = 8

Solving
4qrst + 6qrstx = 8

Solving for variable 'q'.

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

Reorder the terms:
-8 + 4qrst + 6qrstx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 4qrst + 6qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 2qrst + 3qrstx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 2qrst + 3qrstx)' equal to zero and attempt to solve:

Simplifying
-4 + 2qrst + 3qrstx = 0

Solving
-4 + 2qrst + 3qrstx = 0

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

Add '4' to each side of the equation.
-4 + 2qrst + 4 + 3qrstx = 0 + 4

Reorder the terms:
-4 + 4 + 2qrst + 3qrstx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2qrst + 3qrstx = 0 + 4
2qrst + 3qrstx = 0 + 4

Combine like terms: 0 + 4 = 4
2qrst + 3qrstx = 4

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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