9x^2=7x-6

Solution for 9x^2=7x-6 equation:

Simplifying
9x2 = 7x + -6

Reorder the terms:
9x2 = -6 + 7x

Solving
9x2 = -6 + 7x

Solving for variable 'x'.

Reorder the terms:
6 + -7x + 9x2 = -6 + 7x + 6 + -7x

Reorder the terms:
6 + -7x + 9x2 = -6 + 6 + 7x + -7x

Combine like terms: -6 + 6 = 0
6 + -7x + 9x2 = 0 + 7x + -7x
6 + -7x + 9x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -7x + 9x2 = 0

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

Divide each side by '9'.
0.6666666667 + -0.7777777778x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.7777777778x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.7777777778x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.7777777778x + x2 = 0 + -0.6666666667
-0.7777777778x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.7777777778x + x2 = -0.6666666667

The x term is -0.7777777778x.  Take half its coefficient (-0.3888888889).
Square it (0.1512345679) and add it to both sides.

Add '0.1512345679' to each side of the equation.
-0.7777777778x + 0.1512345679 + x2 = -0.6666666667 + 0.1512345679

Reorder the terms:
0.1512345679 + -0.7777777778x + x2 = -0.6666666667 + 0.1512345679

Combine like terms: -0.6666666667 + 0.1512345679 = -0.5154320988
0.1512345679 + -0.7777777778x + x2 = -0.5154320988

Factor a perfect square on the left side:
(x + -0.3888888889)(x + -0.3888888889) = -0.5154320988

Can't calculate square root of the right side.

The solution to this equation could not be determined.