9z^2-6z+37=

Solution for 9z^2-6z+37= equation:

Simplifying
9z2 + -6z + 37 = 0

Reorder the terms:
37 + -6z + 9z2 = 0

Solving
37 + -6z + 9z2 = 0

Solving for variable 'z'.

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

Divide each side by '9'.
4.111111111 + -0.6666666667z + z2 = 0

Move the constant term to the right:

Add '-4.111111111' to each side of the equation.
4.111111111 + -0.6666666667z + -4.111111111 + z2 = 0 + -4.111111111

Reorder the terms:
4.111111111 + -4.111111111 + -0.6666666667z + z2 = 0 + -4.111111111

Combine like terms: 4.111111111 + -4.111111111 = 0.000000000
0.000000000 + -0.6666666667z + z2 = 0 + -4.111111111
-0.6666666667z + z2 = 0 + -4.111111111

Combine like terms: 0 + -4.111111111 = -4.111111111
-0.6666666667z + z2 = -4.111111111

The z term is -0.6666666667z.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667z + 0.1111111112 + z2 = -4.111111111 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667z + z2 = -4.111111111 + 0.1111111112

Combine like terms: -4.111111111 + 0.1111111112 = -3.9999999998
0.1111111112 + -0.6666666667z + z2 = -3.9999999998

Factor a perfect square on the left side:
(z + -0.3333333334)(z + -0.3333333334) = -3.9999999998

Can't calculate square root of the right side.

The solution to this equation could not be determined.