-2g^2-8g+10=0

Solution for -2g^2-8g+10=0 equation:

Simplifying
-2g2 + -8g + 10 = 0

Reorder the terms:
10 + -8g + -2g2 = 0

Solving
10 + -8g + -2g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -4g + -1g2) = 0

Factor a trinomial.
2((1 + -1g)(5 + g)) = 0

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

Simplifying
1 + -1g = 0

Solving
1 + -1g = 0

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

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

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

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

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

Simplifying
g = 1
Subproblem 2
Set the factor '(5 + g)' equal to zero and attempt to solve:

Simplifying
5 + g = 0

Solving
5 + g = 0

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

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

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

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

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