4r(a)=1(abc)

Solution for 4r(a)=1(abc) equation:

Simplifying
4r(a) = 1(abc)

Multiply r * a
4ar = 1(abc)

Solving
4ar = 1abc

Solving for variable 'a'.

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

Add '-1abc' to each side of the equation.
-1abc + 4ar = 1abc + -1abc

Combine like terms: 1abc + -1abc = 0
-1abc + 4ar = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1bc + 4r) = 0

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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(-1bc + 4r)' equal to zero and attempt to solve:

Simplifying
-1bc + 4r = 0

Solving
-1bc + 4r = 0

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

Add 'bc' to each side of the equation.
-1bc + bc + 4r = 0 + bc

Combine like terms: -1bc + bc = 0
0 + 4r = 0 + bc
4r = 0 + bc
Remove the zero:
4r = bc

Add '-4r' to each side of the equation.
4r + -4r = bc + -4r

Combine like terms: 4r + -4r = 0
0 = bc + -4r

Simplifying
0 = bc + -4r

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}