2g^2+9g+7=0

Solution for 2g^2+9g+7=0 equation:

Simplifying
2g2 + 9g + 7 = 0

Reorder the terms:
7 + 9g + 2g2 = 0

Solving
7 + 9g + 2g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(7 + 2g)(1 + g) = 0

Subproblem 1
Set the factor '(7 + 2g)' equal to zero and attempt to solve:

Simplifying
7 + 2g = 0

Solving
7 + 2g = 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 + 2g = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2g = 0 + -7
2g = 0 + -7

Combine like terms: 0 + -7 = -7
2g = -7

Divide each side by '2'.
g = -3.5

Simplifying
g = -3.5
Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 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 + g = 0 + -1

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

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

Simplifying
g = -1
Solution
g = {-3.5, -1}