ax+5a=a^2

Solution for ax+5a=a^2 equation:

Simplifying
ax + 5a = a2

Reorder the terms:
5a + ax = a2

Solving
5a + ax = a2

Solving for variable 'a'.

Combine like terms: a2 + -1a2 = 0
5a + ax + -1a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(5 + x + -1a) = 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 '(5 + x + -1a)' equal to zero and attempt to solve:

Simplifying
5 + x + -1a = 0

Reorder the terms:
5 + -1a + x = 0

Solving
5 + -1a + x = 0

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

Add '-5' to each side of the equation.
5 + -1a + -5 + x = 0 + -5

Reorder the terms:
5 + -5 + -1a + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a + x = 0 + -5
-1a + x = 0 + -5

Combine like terms: 0 + -5 = -5
-1a + x = -5

Add '-1x' to each side of the equation.
-1a + x + -1x = -5 + -1x

Combine like terms: x + -1x = 0
-1a + 0 = -5 + -1x
-1a = -5 + -1x

Divide each side by '-1'.
a = 5 + x

Simplifying
a = 5 + x
Solution
a = {0, 5 + x}