sqrt(x+13)+sqrt(x+45)=8

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Solution for sqrt(x+13)+sqrt(x+45)=8 equation: 


Simplifying
sqrt(x + 13) + sqrt(x + 45) = 8

Reorder the terms:
qrst(13 + x) + sqrt(x + 45) = 8
(13 * qrst + x * qrst) + sqrt(x + 45) = 8
(13qrst + qrstx) + sqrt(x + 45) = 8

Reorder the terms:
13qrst + qrstx + qrst(45 + x) = 8
13qrst + qrstx + (45 * qrst + x * qrst) = 8
13qrst + qrstx + (45qrst + qrstx) = 8

Reorder the terms:
13qrst + 45qrst + qrstx + qrstx = 8

Combine like terms: 13qrst + 45qrst = 58qrst
58qrst + qrstx + qrstx = 8

Combine like terms: qrstx + qrstx = 2qrstx
58qrst + 2qrstx = 8

Solving
58qrst + 2qrstx = 8

Solving for variable 'q'.

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

Reorder the terms:
-8 + 58qrst + 2qrstx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 58qrst + 2qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 29qrst + qrstx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + 29qrst + qrstx)' equal to zero and attempt to solve:

Simplifying
-4 + 29qrst + qrstx = 0

Solving
-4 + 29qrst + qrstx = 0

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

Add '4' to each side of the equation.
-4 + 29qrst + 4 + qrstx = 0 + 4

Reorder the terms:
-4 + 4 + 29qrst + qrstx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 29qrst + qrstx = 0 + 4
29qrst + qrstx = 0 + 4

Combine like terms: 0 + 4 = 4
29qrst + qrstx = 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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