49x^2+21x+9=0

Solution for 49x^2+21x+9=0 equation:

Simplifying
49x2 + 21x + 9 = 0

Reorder the terms:
9 + 21x + 49x2 = 0

Solving
9 + 21x + 49x2 = 0

Solving for variable 'x'.

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

Divide each side by '49'.
0.1836734694 + 0.4285714286x + x2 = 0

Move the constant term to the right:

Add '-0.1836734694' to each side of the equation.
0.1836734694 + 0.4285714286x + -0.1836734694 + x2 = 0 + -0.1836734694

Reorder the terms:
0.1836734694 + -0.1836734694 + 0.4285714286x + x2 = 0 + -0.1836734694

Combine like terms: 0.1836734694 + -0.1836734694 = 0.0000000000
0.0000000000 + 0.4285714286x + x2 = 0 + -0.1836734694
0.4285714286x + x2 = 0 + -0.1836734694

Combine like terms: 0 + -0.1836734694 = -0.1836734694
0.4285714286x + x2 = -0.1836734694

The x term is 0.4285714286x.  Take half its coefficient (0.2142857143).
Square it (0.04591836735) and add it to both sides.

Add '0.04591836735' to each side of the equation.
0.4285714286x + 0.04591836735 + x2 = -0.1836734694 + 0.04591836735

Reorder the terms:
0.04591836735 + 0.4285714286x + x2 = -0.1836734694 + 0.04591836735

Combine like terms: -0.1836734694 + 0.04591836735 = -0.13775510205
0.04591836735 + 0.4285714286x + x2 = -0.13775510205

Factor a perfect square on the left side:
(x + 0.2142857143)(x + 0.2142857143) = -0.13775510205

Can't calculate square root of the right side.

The solution to this equation could not be determined.