sqrt(7+6x)+sqrt(4x+5)=2

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Solution for sqrt(7+6x)+sqrt(4x+5)=2 equation: 


Simplifying
sqrt(7 + 6x) + sqrt(4x + 5) = 2
(7 * qrst + 6x * qrst) + sqrt(4x + 5) = 2
(7qrst + 6qrstx) + sqrt(4x + 5) = 2

Reorder the terms:
7qrst + 6qrstx + qrst(5 + 4x) = 2
7qrst + 6qrstx + (5 * qrst + 4x * qrst) = 2
7qrst + 6qrstx + (5qrst + 4qrstx) = 2

Reorder the terms:
7qrst + 5qrst + 6qrstx + 4qrstx = 2

Combine like terms: 7qrst + 5qrst = 12qrst
12qrst + 6qrstx + 4qrstx = 2

Combine like terms: 6qrstx + 4qrstx = 10qrstx
12qrst + 10qrstx = 2

Solving
12qrst + 10qrstx = 2

Solving for variable 'q'.

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

Reorder the terms:
-2 + 12qrst + 10qrstx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 12qrst + 10qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6qrst + 5qrstx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + 6qrst + 5qrstx)' equal to zero and attempt to solve:

Simplifying
-1 + 6qrst + 5qrstx = 0

Solving
-1 + 6qrst + 5qrstx = 0

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

Add '1' to each side of the equation.
-1 + 6qrst + 1 + 5qrstx = 0 + 1

Reorder the terms:
-1 + 1 + 6qrst + 5qrstx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6qrst + 5qrstx = 0 + 1
6qrst + 5qrstx = 0 + 1

Combine like terms: 0 + 1 = 1
6qrst + 5qrstx = 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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