a^2+5a=5a+4

Solution for a^2+5a=5a+4 equation:

Simplifying
a2 + 5a = 5a + 4

Reorder the terms:
5a + a2 = 5a + 4

Reorder the terms:
5a + a2 = 4 + 5a

Add '-5a' to each side of the equation.
5a + -5a + a2 = 4 + 5a + -5a

Combine like terms: 5a + -5a = 0
0 + a2 = 4 + 5a + -5a
a2 = 4 + 5a + -5a

Combine like terms: 5a + -5a = 0
a2 = 4 + 0
a2 = 4

Solving
a2 = 4

Solving for variable 'a'.

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

Simplifying
a2 = 4

Take the square root of each side:
a = {-2, 2}