9x^2-6x=-37

Solution for 9x^2-6x=-37 equation:

Simplifying
9x2 + -6x = -37

Reorder the terms:
-6x + 9x2 = -37

Solving
-6x + 9x2 = -37

Solving for variable 'x'.

Reorder the terms:
37 + -6x + 9x2 = -37 + 37

Combine like terms: -37 + 37 = 0
37 + -6x + 9x2 = 0

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

Divide each side by '9'.
4.111111111 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-4.111111111' to each side of the equation.
4.111111111 + -0.6666666667x + -4.111111111 + x2 = 0 + -4.111111111

Reorder the terms:
4.111111111 + -4.111111111 + -0.6666666667x + x2 = 0 + -4.111111111

Combine like terms: 4.111111111 + -4.111111111 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -4.111111111
-0.6666666667x + x2 = 0 + -4.111111111

Combine like terms: 0 + -4.111111111 = -4.111111111
-0.6666666667x + x2 = -4.111111111

The x term is -0.6666666667x.  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.
-0.6666666667x + 0.1111111112 + x2 = -4.111111111 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -4.111111111 + 0.1111111112

Combine like terms: -4.111111111 + 0.1111111112 = -3.9999999998
0.1111111112 + -0.6666666667x + x2 = -3.9999999998

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.