sqrt(2x-1)+sqrt(x+4)=6

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Solution for sqrt(2x-1)+sqrt(x+4)=6 equation: 


Simplifying
sqrt(2x + -1) + sqrt(x + 4) = 6

Reorder the terms:
qrst(-1 + 2x) + sqrt(x + 4) = 6
(-1 * qrst + 2x * qrst) + sqrt(x + 4) = 6
(-1qrst + 2qrstx) + sqrt(x + 4) = 6

Reorder the terms:
-1qrst + 2qrstx + qrst(4 + x) = 6
-1qrst + 2qrstx + (4 * qrst + x * qrst) = 6
-1qrst + 2qrstx + (4qrst + qrstx) = 6

Reorder the terms:
-1qrst + 4qrst + 2qrstx + qrstx = 6

Combine like terms: -1qrst + 4qrst = 3qrst
3qrst + 2qrstx + qrstx = 6

Combine like terms: 2qrstx + qrstx = 3qrstx
3qrst + 3qrstx = 6

Solving
3qrst + 3qrstx = 6

Solving for variable 'q'.

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

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

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

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

Ignore the factor 3.

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

Simplifying
-2 + qrst + qrstx = 0

Solving
-2 + qrst + qrstx = 0

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

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

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

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

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

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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