4(a+2)=8+ra

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Solution for 4(a+2)=8+ra equation: 


Simplifying
4(a + 2) = 8 + ra

Reorder the terms:
4(2 + a) = 8 + ra
(2 * 4 + a * 4) = 8 + ra
(8 + 4a) = 8 + ra

Add '-8' to each side of the equation.
8 + -8 + 4a = 8 + -8 + ar

Combine like terms: 8 + -8 = 0
0 + 4a = 8 + -8 + ar
4a = 8 + -8 + ar

Combine like terms: 8 + -8 = 0
4a = 0 + ar
4a = ar

Solving
4a = ar

Solving for variable 'a'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(4 + -1r) = 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 '(4 + -1r)' equal to zero and attempt to solve:

Simplifying
4 + -1r = 0

Solving
4 + -1r = 0

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

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

Combine like terms: 4 + -4 = 0
0 + -1r = 0 + -4
-1r = 0 + -4

Combine like terms: 0 + -4 = -4
-1r = -4

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

Combine like terms: -1r + r = 0
0 = -4 + r

Simplifying
0 = -4 + r

The solution to this equation could not be determined.

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

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