rad(3x-7)+2rad(x-8)=0

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Solution for rad(3x-7)+2rad(x-8)=0 equation: 


Simplifying
rad(3x + -7) + 2rad(x + -8) = 0

Reorder the terms:
adr(-7 + 3x) + 2rad(x + -8) = 0
(-7 * adr + 3x * adr) + 2rad(x + -8) = 0
(-7adr + 3adrx) + 2rad(x + -8) = 0

Reorder the terms:
-7adr + 3adrx + 2adr(-8 + x) = 0
-7adr + 3adrx + (-8 * 2adr + x * 2adr) = 0
-7adr + 3adrx + (-16adr + 2adrx) = 0

Reorder the terms:
-7adr + -16adr + 3adrx + 2adrx = 0

Combine like terms: -7adr + -16adr = -23adr
-23adr + 3adrx + 2adrx = 0

Combine like terms: 3adrx + 2adrx = 5adrx
-23adr + 5adrx = 0

Solving
-23adr + 5adrx = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'adr'.
adr(-23 + 5x) = 0


Subproblem 1
Set the factor 'adr' equal to zero and attempt to solve:

Simplifying
adr = 0

Solving
adr = 0

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

Simplifying
adr = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-23 + 5x)' equal to zero and attempt to solve:

Simplifying
-23 + 5x = 0

Solving
-23 + 5x = 0

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

Add '23' to each side of the equation.
-23 + 23 + 5x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + 5x = 0 + 23
5x = 0 + 23

Combine like terms: 0 + 23 = 23
5x = 23

Add '-5x' to each side of the equation.
5x + -5x = 23 + -5x

Combine like terms: 5x + -5x = 0
0 = 23 + -5x

Simplifying
0 = 23 + -5x

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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