39x^2-31x+6=0

Solution for 39x^2-31x+6=0 equation:

Simplifying
39x2 + -31x + 6 = 0

Reorder the terms:
6 + -31x + 39x2 = 0

Solving
6 + -31x + 39x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(6 + -13x) = 0

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Subproblem 2
Set the factor '(6 + -13x)' equal to zero and attempt to solve:

Simplifying
6 + -13x = 0

Solving
6 + -13x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -13x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 0 + -6
-13x = 0 + -6

Combine like terms: 0 + -6 = -6
-13x = -6

Divide each side by '-13'.
x = 0.4615384615

Simplifying
x = 0.4615384615
Solution
x = {0.3333333333, 0.4615384615}