g^2+13g+42=

Solution for g^2+13g+42= equation:

Simplifying
g2 + 13g + 42 = 0

Reorder the terms:
42 + 13g + g2 = 0

Solving
42 + 13g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(7 + g)(6 + g) = 0

Subproblem 1
Set the factor '(7 + g)' equal to zero and attempt to solve:

Simplifying
7 + g = 0

Solving
7 + g = 0

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

Add '-7' to each side of the equation.
7 + -7 + g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + g = 0 + -7
g = 0 + -7

Combine like terms: 0 + -7 = -7
g = -7

Simplifying
g = -7
Subproblem 2
Set the factor '(6 + g)' equal to zero and attempt to solve:

Simplifying
6 + g = 0

Solving
6 + g = 0

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

Add '-6' to each side of the equation.
6 + -6 + g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + g = 0 + -6
g = 0 + -6

Combine like terms: 0 + -6 = -6
g = -6

Simplifying
g = -6
Solution
g = {-7, -6}