g^2+14g+45=0

Solution for g^2+14g+45=0 equation:

Simplifying
g2 + 14g + 45 = 0

Reorder the terms:
45 + 14g + g2 = 0

Solving
45 + 14g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(9 + g)(5 + g) = 0

Subproblem 1
Set the factor '(9 + g)' equal to zero and attempt to solve:

Simplifying
9 + g = 0

Solving
9 + g = 0

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

Add '-9' to each side of the equation.
9 + -9 + g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + g = 0 + -9
g = 0 + -9

Combine like terms: 0 + -9 = -9
g = -9

Simplifying
g = -9
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 = {-9, -5}