A^2-6A-2=-10

Solution for A^2-6A-2=-10 equation:

Simplifying
A2 + -6A + -2 = -10

Reorder the terms:
-2 + -6A + A2 = -10

Solving
-2 + -6A + A2 = -10

Solving for variable 'A'.

Reorder the terms:
-2 + 10 + -6A + A2 = -10 + 10

Combine like terms: -2 + 10 = 8
8 + -6A + A2 = -10 + 10

Combine like terms: -10 + 10 = 0
8 + -6A + A2 = 0

Factor a trinomial.
(2 + -1A)(4 + -1A) = 0

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

Simplifying
2 + -1A = 0

Solving
2 + -1A = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1A = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1A = 0 + -2
-1A = 0 + -2

Combine like terms: 0 + -2 = -2
-1A = -2

Divide each side by '-1'.
A = 2

Simplifying
A = 2
Subproblem 2
Set the factor '(4 + -1A)' equal to zero and attempt to solve:

Simplifying
4 + -1A = 0

Solving
4 + -1A = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1A = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1A = 0 + -4
-1A = 0 + -4

Combine like terms: 0 + -4 = -4
-1A = -4

Divide each side by '-1'.
A = 4

Simplifying
A = 4
Solution
A = {2, 4}