50g^2-15g-2=0

Solution for 50g^2-15g-2=0 equation:

Simplifying
50g2 + -15g + -2 = 0

Reorder the terms:
-2 + -15g + 50g2 = 0

Solving
-2 + -15g + 50g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-1 + -10g)(2 + -5g) = 0

Subproblem 1
Set the factor '(-1 + -10g)' equal to zero and attempt to solve:

Simplifying
-1 + -10g = 0

Solving
-1 + -10g = 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 + -10g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -10g = 0 + 1
-10g = 0 + 1

Combine like terms: 0 + 1 = 1
-10g = 1

Divide each side by '-10'.
g = -0.1

Simplifying
g = -0.1
Subproblem 2
Set the factor '(2 + -5g)' equal to zero and attempt to solve:

Simplifying
2 + -5g = 0

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

Combine like terms: 2 + -2 = 0
0 + -5g = 0 + -2
-5g = 0 + -2

Combine like terms: 0 + -2 = -2
-5g = -2

Divide each side by '-5'.
g = 0.4

Simplifying
g = 0.4
Solution
g = {-0.1, 0.4}