2(-a^2-2a+3)=

Solution for 2(-a^2-2a+3)= equation:

Simplifying
2(-1a2 + -2a + 3) = 0

Reorder the terms:
2(3 + -2a + -1a2) = 0
(3 * 2 + -2a * 2 + -1a2 * 2) = 0
(6 + -4a + -2a2) = 0

Solving
6 + -4a + -2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -2a + -1a2) = 0

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

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

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1

Combine like terms: 0 + -1 = -1
-1a = -1

Divide each side by '-1'.
a = 1

Simplifying
a = 1
Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

Solving
3 + a = 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 + a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a = 0 + -3
a = 0 + -3

Combine like terms: 0 + -3 = -3
a = -3

Simplifying
a = -3
Solution
a = {1, -3}