a(a-3)+5=(a-1)

Solution for a(a-3)+5=(a-1) equation:

Simplifying
a(a + -3) + 5 = (a + -1)

Reorder the terms:
a(-3 + a) + 5 = (a + -1)
(-3 * a + a * a) + 5 = (a + -1)
(-3a + a2) + 5 = (a + -1)

Reorder the terms:
5 + -3a + a2 = (a + -1)

Reorder the terms:
5 + -3a + a2 = (-1 + a)

Remove parenthesis around (-1 + a)
5 + -3a + a2 = -1 + a

Solving
5 + -3a + a2 = -1 + a

Solving for variable 'a'.

Reorder the terms:
5 + 1 + -3a + -1a + a2 = -1 + a + 1 + -1a

Combine like terms: 5 + 1 = 6
6 + -3a + -1a + a2 = -1 + a + 1 + -1a

Combine like terms: -3a + -1a = -4a
6 + -4a + a2 = -1 + a + 1 + -1a

Reorder the terms:
6 + -4a + a2 = -1 + 1 + a + -1a

Combine like terms: -1 + 1 = 0
6 + -4a + a2 = 0 + a + -1a
6 + -4a + a2 = a + -1a

Combine like terms: a + -1a = 0
6 + -4a + a2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -4a + -6 + a2 = 0 + -6

Reorder the terms:
6 + -6 + -4a + a2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -4a + a2 = 0 + -6
-4a + a2 = 0 + -6

Combine like terms: 0 + -6 = -6
-4a + a2 = -6

The a term is -4a.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4a + 4 + a2 = -6 + 4

Reorder the terms:
4 + -4a + a2 = -6 + 4

Combine like terms: -6 + 4 = -2
4 + -4a + a2 = -2

Factor a perfect square on the left side:
(a + -2)(a + -2) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.