sqrt(x+4)+sqrt(x+28)=6

Solution for sqrt(x+4)+sqrt(x+28)=6 equation:

Simplifying
sqrt(x + 4) + sqrt(x + 28) = 6

Reorder the terms:
qrst(4 + x) + sqrt(x + 28) = 6
(4 * qrst + x * qrst) + sqrt(x + 28) = 6
(4qrst + qrstx) + sqrt(x + 28) = 6

Reorder the terms:
4qrst + qrstx + qrst(28 + x) = 6
4qrst + qrstx + (28 * qrst + x * qrst) = 6
4qrst + qrstx + (28qrst + qrstx) = 6

Reorder the terms:
4qrst + 28qrst + qrstx + qrstx = 6

Combine like terms: 4qrst + 28qrst = 32qrst
32qrst + qrstx + qrstx = 6

Combine like terms: qrstx + qrstx = 2qrstx
32qrst + 2qrstx = 6

Solving
32qrst + 2qrstx = 6

Solving for variable 'q'.

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

Reorder the terms:
-6 + 32qrst + 2qrstx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 32qrst + 2qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 16qrst + qrstx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + 16qrst + qrstx)' equal to zero and attempt to solve:

Simplifying
-3 + 16qrst + qrstx = 0

Solving
-3 + 16qrst + qrstx = 0

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

Add '3' to each side of the equation.
-3 + 16qrst + 3 + qrstx = 0 + 3

Reorder the terms:
-3 + 3 + 16qrst + qrstx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 16qrst + qrstx = 0 + 3
16qrst + qrstx = 0 + 3

Combine like terms: 0 + 3 = 3
16qrst + qrstx = 3

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.