4a-5(a-1)=0

Solution for 4a-5(a-1)=0 equation:

Simplifying
4a + -5(a + -1) = 0

Reorder the terms:
4a + -5(-1 + a) = 0
4a + (-1 * -5 + a * -5) = 0
4a + (5 + -5a) = 0

Reorder the terms:
5 + 4a + -5a = 0

Combine like terms: 4a + -5a = -1a
5 + -1a = 0

Solving
5 + -1a = 0

Solving for variable 'a'.

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

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

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

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

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

Simplifying
a = 5