g^2+10g+21=

Solution for g^2+10g+21= equation:

Simplifying
g2 + 10g + 21 = 0

Reorder the terms:
21 + 10g + g2 = 0

Solving
21 + 10g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(7 + g)(3 + 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 '(3 + g)' equal to zero and attempt to solve:

Simplifying
3 + g = 0

Solving
3 + g = 0

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

Add '-3' to each side of the equation.
3 + -3 + g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + g = 0 + -3
g = 0 + -3

Combine like terms: 0 + -3 = -3
g = -3

Simplifying
g = -3
Solution
g = {-7, -3}