11x^2+8x+14=0

Solution for 11x^2+8x+14=0 equation:

Simplifying
11x2 + 8x + 14 = 0

Reorder the terms:
14 + 8x + 11x2 = 0

Solving
14 + 8x + 11x2 = 0

Solving for variable 'x'.

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

Divide each side by '11'.
1.272727273 + 0.7272727273x + x2 = 0

Move the constant term to the right:

Add '-1.272727273' to each side of the equation.
1.272727273 + 0.7272727273x + -1.272727273 + x2 = 0 + -1.272727273

Reorder the terms:
1.272727273 + -1.272727273 + 0.7272727273x + x2 = 0 + -1.272727273

Combine like terms: 1.272727273 + -1.272727273 = 0.000000000
0.000000000 + 0.7272727273x + x2 = 0 + -1.272727273
0.7272727273x + x2 = 0 + -1.272727273

Combine like terms: 0 + -1.272727273 = -1.272727273
0.7272727273x + x2 = -1.272727273

The x term is 0.7272727273x.  Take half its coefficient (0.3636363637).
Square it (0.1322314050) and add it to both sides.

Add '0.1322314050' to each side of the equation.
0.7272727273x + 0.1322314050 + x2 = -1.272727273 + 0.1322314050

Reorder the terms:
0.1322314050 + 0.7272727273x + x2 = -1.272727273 + 0.1322314050

Combine like terms: -1.272727273 + 0.1322314050 = -1.140495868
0.1322314050 + 0.7272727273x + x2 = -1.140495868

Factor a perfect square on the left side:
(x + 0.3636363637)(x + 0.3636363637) = -1.140495868

Can't calculate square root of the right side.

The solution to this equation could not be determined.