9x^2=8x-3

Solution for 9x^2=8x-3 equation:

Simplifying
9x2 = 8x + -3

Reorder the terms:
9x2 = -3 + 8x

Solving
9x2 = -3 + 8x

Solving for variable 'x'.

Reorder the terms:
3 + -8x + 9x2 = -3 + 8x + 3 + -8x

Reorder the terms:
3 + -8x + 9x2 = -3 + 3 + 8x + -8x

Combine like terms: -3 + 3 = 0
3 + -8x + 9x2 = 0 + 8x + -8x
3 + -8x + 9x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -8x + 9x2 = 0

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

Divide each side by '9'.
0.3333333333 + -0.8888888889x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -0.8888888889x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -0.8888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -0.8888888889x + x2 = 0 + -0.3333333333
-0.8888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-0.8888888889x + x2 = -0.3333333333

The x term is -0.8888888889x.  Take half its coefficient (-0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
-0.8888888889x + 0.1975308642 + x2 = -0.3333333333 + 0.1975308642

Reorder the terms:
0.1975308642 + -0.8888888889x + x2 = -0.3333333333 + 0.1975308642

Combine like terms: -0.3333333333 + 0.1975308642 = -0.1358024691
0.1975308642 + -0.8888888889x + x2 = -0.1358024691

Factor a perfect square on the left side:
(x + -0.4444444445)(x + -0.4444444445) = -0.1358024691

Can't calculate square root of the right side.

The solution to this equation could not be determined.