9g^2+45g+14=0

Solution for 9g^2+45g+14=0 equation:

Simplifying
9g2 + 45g + 14 = 0

Reorder the terms:
14 + 45g + 9g2 = 0

Solving
14 + 45g + 9g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(14 + 3g)(1 + 3g) = 0

Subproblem 1
Set the factor '(14 + 3g)' equal to zero and attempt to solve:

Simplifying
14 + 3g = 0

Solving
14 + 3g = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3g = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3g = 0 + -14
3g = 0 + -14

Combine like terms: 0 + -14 = -14
3g = -14

Divide each side by '3'.
g = -4.666666667

Simplifying
g = -4.666666667
Subproblem 2
Set the factor '(1 + 3g)' equal to zero and attempt to solve:

Simplifying
1 + 3g = 0

Solving
1 + 3g = 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 + 3g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3g = 0 + -1
3g = 0 + -1

Combine like terms: 0 + -1 = -1
3g = -1

Divide each side by '3'.
g = -0.3333333333

Simplifying
g = -0.3333333333
Solution
g = {-4.666666667, -0.3333333333}