4A+6-5A-6=a^2+A-4A-6

Solution for 4A+6-5A-6=a^2+A-4A-6 equation:

Simplifying
4A + 6 + -5A + -6 = a2 + A + -4A + -6

Reorder the terms:
6 + -6 + 4A + -5A = a2 + A + -4A + -6

Combine like terms: 6 + -6 = 0
0 + 4A + -5A = a2 + A + -4A + -6
4A + -5A = a2 + A + -4A + -6

Combine like terms: 4A + -5A = -1A
-1A = a2 + A + -4A + -6

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

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

Solving
-1A = -6 + -3A + a2

Solving for variable 'A'.

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

Add '3A' to each side of the equation.
-1A + 3A = -6 + -3A + 3A + a2

Combine like terms: -1A + 3A = 2A
2A = -6 + -3A + 3A + a2

Combine like terms: -3A + 3A = 0
2A = -6 + 0 + a2
2A = -6 + a2

Divide each side by '2'.
A = -3 + 0.5a2

Simplifying
A = -3 + 0.5a2