36z^2+6z+1=0

Solution for 36z^2+6z+1=0 equation:

Simplifying
36z2 + 6z + 1 = 0

Reorder the terms:
1 + 6z + 36z2 = 0

Solving
1 + 6z + 36z2 = 0

Solving for variable 'z'.

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

Divide each side by '36'.
0.02777777778 + 0.1666666667z + z2 = 0

Move the constant term to the right:

Add '-0.02777777778' to each side of the equation.
0.02777777778 + 0.1666666667z + -0.02777777778 + z2 = 0 + -0.02777777778

Reorder the terms:
0.02777777778 + -0.02777777778 + 0.1666666667z + z2 = 0 + -0.02777777778

Combine like terms: 0.02777777778 + -0.02777777778 = 0.00000000000
0.00000000000 + 0.1666666667z + z2 = 0 + -0.02777777778
0.1666666667z + z2 = 0 + -0.02777777778

Combine like terms: 0 + -0.02777777778 = -0.02777777778
0.1666666667z + z2 = -0.02777777778

The z term is 0.1666666667z.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667z + 0.006944444447 + z2 = -0.02777777778 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667z + z2 = -0.02777777778 + 0.006944444447

Combine like terms: -0.02777777778 + 0.006944444447 = -0.020833333333
0.006944444447 + 0.1666666667z + z2 = -0.020833333333

Factor a perfect square on the left side:
(z + 0.08333333335)(z + 0.08333333335) = -0.020833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.