4.9x^2+1.85x+55.3=0

Solution for 4.9x^2+1.85x+55.3=0 equation:

Simplifying
4.9x2 + 1.85x + 55.3 = 0

Reorder the terms:
55.3 + 1.85x + 4.9x2 = 0

Solving
55.3 + 1.85x + 4.9x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.9'.
11.28571429 + 0.3775510204x + x2 = 0

Move the constant term to the right:

Add '-11.28571429' to each side of the equation.
11.28571429 + 0.3775510204x + -11.28571429 + x2 = 0 + -11.28571429

Reorder the terms:
11.28571429 + -11.28571429 + 0.3775510204x + x2 = 0 + -11.28571429

Combine like terms: 11.28571429 + -11.28571429 = 0.00000000
0.00000000 + 0.3775510204x + x2 = 0 + -11.28571429
0.3775510204x + x2 = 0 + -11.28571429

Combine like terms: 0 + -11.28571429 = -11.28571429
0.3775510204x + x2 = -11.28571429

The x term is 0.3775510204x.  Take half its coefficient (0.1887755102).
Square it (0.03563619325) and add it to both sides.

Add '0.03563619325' to each side of the equation.
0.3775510204x + 0.03563619325 + x2 = -11.28571429 + 0.03563619325

Reorder the terms:
0.03563619325 + 0.3775510204x + x2 = -11.28571429 + 0.03563619325

Combine like terms: -11.28571429 + 0.03563619325 = -11.25007809675
0.03563619325 + 0.3775510204x + x2 = -11.25007809675

Factor a perfect square on the left side:
(x + 0.1887755102)(x + 0.1887755102) = -11.25007809675

Can't calculate square root of the right side.

The solution to this equation could not be determined.