0=14x^2-11x+2

Solution for 0=14x^2-11x+2 equation:

Simplifying
0 = 14x2 + -11x + 2

Reorder the terms:
0 = 2 + -11x + 14x2

Solving
0 = 2 + -11x + 14x2

Solving for variable 'x'.

Combine like terms: 0 + -2 = -2
-2 + 11x + -14x2 = 2 + -11x + 14x2 + -2 + 11x + -14x2

Reorder the terms:
-2 + 11x + -14x2 = 2 + -2 + -11x + 11x + 14x2 + -14x2

Combine like terms: 2 + -2 = 0
-2 + 11x + -14x2 = 0 + -11x + 11x + 14x2 + -14x2
-2 + 11x + -14x2 = -11x + 11x + 14x2 + -14x2

Combine like terms: -11x + 11x = 0
-2 + 11x + -14x2 = 0 + 14x2 + -14x2
-2 + 11x + -14x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
-2 + 11x + -14x2 = 0

Factor a trinomial.
(-1 + 2x)(2 + -7x) = 0

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

Simplifying
-1 + 2x = 0

Solving
-1 + 2x = 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 + 2x = 0 + 1

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

Combine like terms: 0 + 1 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
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
Solution
x = {0.5, 0.2857142857}