-10g^2+13g-4=0

Solution for -10g^2+13g-4=0 equation:

Simplifying
-10g2 + 13g + -4 = 0

Reorder the terms:
-4 + 13g + -10g2 = 0

Solving
-4 + 13g + -10g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(-4 + 5g)(1 + -2g) = 0

Subproblem 1
Set the factor '(-4 + 5g)' equal to zero and attempt to solve:

Simplifying
-4 + 5g = 0

Solving
-4 + 5g = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5g = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5g = 0 + 4
5g = 0 + 4

Combine like terms: 0 + 4 = 4
5g = 4

Divide each side by '5'.
g = 0.8

Simplifying
g = 0.8
Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve:

Simplifying
1 + -2g = 0

Solving
1 + -2g = 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 + -2g = 0 + -1

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

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

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Solution
g = {0.8, 0.5}