-2a^2-8a=-10

Solution for -2a^2-8a=-10 equation:

Simplifying
-2a2 + -8a = -10

Reorder the terms:
-8a + -2a2 = -10

Solving
-8a + -2a2 = -10

Solving for variable 'a'.

Reorder the terms:
10 + -8a + -2a2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -8a + -2a2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4a + -1a2) = 0

Factor a trinomial.
2((1 + -1a)(5 + 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 '(5 + a)' equal to zero and attempt to solve:

Simplifying
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Solution
a = {1, -5}