5g^2-9g-2=0

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

Simplifying
5g2 + -9g + -2 = 0

Reorder the terms:
-2 + -9g + 5g2 = 0

Solving
-2 + -9g + 5g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -5g)(2 + -1g) = 0

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

Simplifying
-1 + -5g = 0

Solving
-1 + -5g = 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 + -5g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5g = 0 + 1
-5g = 0 + 1

Combine like terms: 0 + 1 = 1
-5g = 1

Divide each side by '-5'.
g = -0.2

Simplifying
g = -0.2
Subproblem 2
Set the factor '(2 + -1g)' equal to zero and attempt to solve:

Simplifying
2 + -1g = 0

Solving
2 + -1g = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g = 0 + -2
-1g = 0 + -2

Combine like terms: 0 + -2 = -2
-1g = -2

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Solution
g = {-0.2, 2}