2A^2-2A-10=2

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

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

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

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

Solving for variable 'A'.

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

Combine like terms: -10 + -2 = -12
-12 + -2A + 2A2 = 2 + -2

Combine like terms: 2 + -2 = 0
-12 + -2A + 2A2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + -1A + A2) = 0

Factor a trinomial.
2((-2 + -1A)(3 + -1A)) = 0

Ignore the factor 2.
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 '(3 + -1A)' equal to zero and attempt to solve:

Simplifying
3 + -1A = 0

Solving
3 + -1A = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1A = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1A = 0 + -3
-1A = 0 + -3

Combine like terms: 0 + -3 = -3
-1A = -3

Divide each side by '-1'.
A = 3

Simplifying
A = 3
Solution
A = {-2, 3}