9x-9x^2=3+x+x^2

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

Simplifying
9x + -9x2 = 3 + x + x2

Solving
9x + -9x2 = 3 + x + x2

Solving for variable 'x'.

Reorder the terms:
-3 + 9x + -1x + -9x2 + -1x2 = 3 + x + x2 + -3 + -1x + -1x2

Combine like terms: 9x + -1x = 8x
-3 + 8x + -9x2 + -1x2 = 3 + x + x2 + -3 + -1x + -1x2

Combine like terms: -9x2 + -1x2 = -10x2
-3 + 8x + -10x2 = 3 + x + x2 + -3 + -1x + -1x2

Reorder the terms:
-3 + 8x + -10x2 = 3 + -3 + x + -1x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 8x + -10x2 = 0 + x + -1x + x2 + -1x2
-3 + 8x + -10x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
-3 + 8x + -10x2 = 0 + x2 + -1x2
-3 + 8x + -10x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 8x + -10x2 = 0

Begin completing the square.  Divide all terms by
-10 the coefficient of the squared term: 

Divide each side by '-10'.
0.3 + -0.8x + x2 = 0.0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + -0.8x + -0.3 + x2 = 0.0 + -0.3

Reorder the terms:
0.3 + -0.3 + -0.8x + x2 = 0.0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + -0.8x + x2 = 0.0 + -0.3
-0.8x + x2 = 0.0 + -0.3

Combine like terms: 0.0 + -0.3 = -0.3
-0.8x + x2 = -0.3

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -0.3 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -0.3 + 0.16

Combine like terms: -0.3 + 0.16 = -0.14
0.16 + -0.8x + x2 = -0.14

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -0.14

Can't calculate square root of the right side.

The solution to this equation could not be determined.