5g^2-4g-9=0

Solution for 5g^2-4g-9=0 equation:

Simplifying
5g2 + -4g + -9 = 0

Reorder the terms:
-9 + -4g + 5g2 = 0

Solving
-9 + -4g + 5g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -1g)(9 + -5g) = 0

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

Simplifying
-1 + -1g = 0

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

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

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

Divide each side by '-1'.
g = -1

Simplifying
g = -1
Subproblem 2
Set the factor '(9 + -5g)' equal to zero and attempt to solve:

Simplifying
9 + -5g = 0

Solving
9 + -5g = 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 + -5g = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5g = 0 + -9
-5g = 0 + -9

Combine like terms: 0 + -9 = -9
-5g = -9

Divide each side by '-5'.
g = 1.8

Simplifying
g = 1.8
Solution
g = {-1, 1.8}