4+14x^2-11x=0

Solution for 4+14x^2-11x=0 equation:

Simplifying
4 + 14x2 + -11x = 0

Reorder the terms:
4 + -11x + 14x2 = 0

Solving
4 + -11x + 14x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
14 the coefficient of the squared term: 

Divide each side by '14'.
0.2857142857 + -0.7857142857x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.7857142857x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.7857142857x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.7857142857x + x2 = 0 + -0.2857142857
-0.7857142857x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.7857142857x + x2 = -0.2857142857

The x term is -0.7857142857x.  Take half its coefficient (-0.3928571429).
Square it (0.1543367347) and add it to both sides.

Add '0.1543367347' to each side of the equation.
-0.7857142857x + 0.1543367347 + x2 = -0.2857142857 + 0.1543367347

Reorder the terms:
0.1543367347 + -0.7857142857x + x2 = -0.2857142857 + 0.1543367347

Combine like terms: -0.2857142857 + 0.1543367347 = -0.131377551
0.1543367347 + -0.7857142857x + x2 = -0.131377551

Factor a perfect square on the left side:
(x + -0.3928571429)(x + -0.3928571429) = -0.131377551

Can't calculate square root of the right side.

The solution to this equation could not be determined.