5.4=3.6(1+a)+a

Solution for 5.4=3.6(1+a)+a equation:

Simplifying
5.4 = 3.6(1 + a) + a
5.4 = (1 * 3.6 + a * 3.6) + a
5.4 = (3.6 + 3.6a) + a

Combine like terms: 3.6a + a = 4.6a
5.4 = 3.6 + 4.6a

Solving
5.4 = 3.6 + 4.6a

Solving for variable 'a'.

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

Add '-4.6a' to each side of the equation.
5.4 + -4.6a = 3.6 + 4.6a + -4.6a

Combine like terms: 4.6a + -4.6a = 0.0
5.4 + -4.6a = 3.6 + 0.0
5.4 + -4.6a = 3.6

Add '-5.4' to each side of the equation.
5.4 + -5.4 + -4.6a = 3.6 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + -4.6a = 3.6 + -5.4
-4.6a = 3.6 + -5.4

Combine like terms: 3.6 + -5.4 = -1.8
-4.6a = -1.8

Divide each side by '-4.6'.
a = 0.3913043478

Simplifying
a = 0.3913043478