g^2+10g+16=0

Solution for g^2+10g+16=0 equation:

Simplifying
g2 + 10g + 16 = 0

Reorder the terms:
16 + 10g + g2 = 0

Solving
16 + 10g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(8 + g)(2 + g) = 0

Subproblem 1
Set the factor '(8 + g)' equal to zero and attempt to solve:

Simplifying
8 + g = 0

Solving
8 + g = 0

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

Add '-8' to each side of the equation.
8 + -8 + g = 0 + -8

Combine like terms: 8 + -8 = 0
0 + g = 0 + -8
g = 0 + -8

Combine like terms: 0 + -8 = -8
g = -8

Simplifying
g = -8
Subproblem 2
Set the factor '(2 + g)' equal to zero and attempt to solve:

Simplifying
2 + g = 0

Solving
2 + g = 0

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

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

Combine like terms: 2 + -2 = 0
0 + g = 0 + -2
g = 0 + -2

Combine like terms: 0 + -2 = -2
g = -2

Simplifying
g = -2
Solution
g = {-8, -2}