sqrt(3-11)-sqrt(u-4)=1

Solution for sqrt(3-11)-sqrt(u-4)=1 equation:

Simplifying
sqrt(3 + -11) + -1sqrt(u + -4) = 1

Combine like terms: 3 + -11 = -8
qrst(-8) + -1sqrt(u + -4) = 1

Reorder the terms for easier multiplication:
-8qrst + -1sqrt(u + -4) = 1

Reorder the terms:
-8qrst + -1qrst(-4 + u) = 1
-8qrst + (-4 * -1qrst + u * -1qrst) = 1
-8qrst + (4qrst + -1qrstu) = 1

Combine like terms: -8qrst + 4qrst = -4qrst
-4qrst + -1qrstu = 1

Solving
-4qrst + -1qrstu = 1

Solving for variable 'q'.

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

Reorder the terms:
-1 + -4qrst + -1qrstu = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -4qrst + -1qrstu = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 4qrst + qrstu) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(1 + 4qrst + qrstu)' equal to zero and attempt to solve:

Simplifying
1 + 4qrst + qrstu = 0

Solving
1 + 4qrst + qrstu = 0

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

Add '-1' to each side of the equation.
1 + 4qrst + -1 + qrstu = 0 + -1

Reorder the terms:
1 + -1 + 4qrst + qrstu = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4qrst + qrstu = 0 + -1
4qrst + qrstu = 0 + -1

Combine like terms: 0 + -1 = -1
4qrst + qrstu = -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.