4g^2-25g+6=0

Solution for 4g^2-25g+6=0 equation:

Simplifying
4g2 + -25g + 6 = 0

Reorder the terms:
6 + -25g + 4g2 = 0

Solving
6 + -25g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -4g)(6 + -1g) = 0

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

Simplifying
1 + -4g = 0

Solving
1 + -4g = 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 + -4g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4g = 0 + -1
-4g = 0 + -1

Combine like terms: 0 + -1 = -1
-4g = -1

Divide each side by '-4'.
g = 0.25

Simplifying
g = 0.25
Subproblem 2
Set the factor '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Divide each side by '-1'.
g = 6

Simplifying
g = 6
Solution
g = {0.25, 6}