rad(7x+1)-rad(x-5)=6

Solution for rad(7x+1)-rad(x-5)=6 equation:

Simplifying
rad(7x + 1) + -1rad(x + -5) = 6

Reorder the terms:
adr(1 + 7x) + -1rad(x + -5) = 6
(1 * adr + 7x * adr) + -1rad(x + -5) = 6
(1adr + 7adrx) + -1rad(x + -5) = 6

Reorder the terms:
1adr + 7adrx + -1adr(-5 + x) = 6
1adr + 7adrx + (-5 * -1adr + x * -1adr) = 6
1adr + 7adrx + (5adr + -1adrx) = 6

Reorder the terms:
1adr + 5adr + 7adrx + -1adrx = 6

Combine like terms: 1adr + 5adr = 6adr
6adr + 7adrx + -1adrx = 6

Combine like terms: 7adrx + -1adrx = 6adrx
6adr + 6adrx = 6

Solving
6adr + 6adrx = 6

Solving for variable 'a'.

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

Reorder the terms:
-6 + 6adr + 6adrx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 6adr + 6adrx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-1 + adr + adrx) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-1 + adr + adrx)' equal to zero and attempt to solve:

Simplifying
-1 + adr + adrx = 0

Solving
-1 + adr + adrx = 0

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

Add '1' to each side of the equation.
-1 + adr + 1 + adrx = 0 + 1

Reorder the terms:
-1 + 1 + adr + adrx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + adr + adrx = 0 + 1
adr + adrx = 0 + 1

Combine like terms: 0 + 1 = 1
adr + adrx = 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.