A*A=48+2*A

Solution for A*A=48+2*A equation:

Simplifying
A * A = 48 + 2A

Multiply A * A
A2 = 48 + 2A

Solving
A2 = 48 + 2A

Solving for variable 'A'.

Reorder the terms:
-48 + -2A + A2 = 48 + 2A + -48 + -2A

Reorder the terms:
-48 + -2A + A2 = 48 + -48 + 2A + -2A

Combine like terms: 48 + -48 = 0
-48 + -2A + A2 = 0 + 2A + -2A
-48 + -2A + A2 = 2A + -2A

Combine like terms: 2A + -2A = 0
-48 + -2A + A2 = 0

Factor a trinomial.
(-6 + -1A)(8 + -1A) = 0

Subproblem 1
Set the factor '(-6 + -1A)' equal to zero and attempt to solve:

Simplifying
-6 + -1A = 0

Solving
-6 + -1A = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1A = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1A = 0 + 6
-1A = 0 + 6

Combine like terms: 0 + 6 = 6
-1A = 6

Divide each side by '-1'.
A = -6

Simplifying
A = -6
Subproblem 2
Set the factor '(8 + -1A)' equal to zero and attempt to solve:

Simplifying
8 + -1A = 0

Solving
8 + -1A = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1A = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1A = 0 + -8
-1A = 0 + -8

Combine like terms: 0 + -8 = -8
-1A = -8

Divide each side by '-1'.
A = 8

Simplifying
A = 8
Solution
A = {-6, 8}