91x^2-68x+12=0

Solution for 91x^2-68x+12=0 equation:

Simplifying
91x2 + -68x + 12 = 0

Reorder the terms:
12 + -68x + 91x2 = 0

Solving
12 + -68x + 91x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -7x)(6 + -13x) = 0

Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
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 = {0.2857142857, 0.4615384615}