28x^2-36x+11=0

Solution for 28x^2-36x+11=0 equation:

Simplifying
28x2 + -36x + 11 = 0

Reorder the terms:
11 + -36x + 28x2 = 0

Solving
11 + -36x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(11 + -14x) = 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 '(11 + -14x)' equal to zero and attempt to solve:

Simplifying
11 + -14x = 0

Solving
11 + -14x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -14x = 0 + -11

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

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

Divide each side by '-14'.
x = 0.7857142857

Simplifying
x = 0.7857142857
Solution
x = {0.5, 0.7857142857}