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

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

Simplifying
(9x2 + -1x + 9) + -1(x2 + 2x + 3) = 0

Reorder the terms:
(9 + -1x + 9x2) + -1(x2 + 2x + 3) = 0

Remove parenthesis around (9 + -1x + 9x2)
9 + -1x + 9x2 + -1(x2 + 2x + 3) = 0

Reorder the terms:
9 + -1x + 9x2 + -1(3 + 2x + x2) = 0
9 + -1x + 9x2 + (3 * -1 + 2x * -1 + x2 * -1) = 0
9 + -1x + 9x2 + (-3 + -2x + -1x2) = 0

Reorder the terms:
9 + -3 + -1x + -2x + 9x2 + -1x2 = 0

Combine like terms: 9 + -3 = 6
6 + -1x + -2x + 9x2 + -1x2 = 0

Combine like terms: -1x + -2x = -3x
6 + -3x + 9x2 + -1x2 = 0

Combine like terms: 9x2 + -1x2 = 8x2
6 + -3x + 8x2 = 0

Solving
6 + -3x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.75 + -0.375x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -0.375x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -0.375x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -0.375x + x2 = 0 + -0.75
-0.375x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-0.375x + x2 = -0.75

The x term is -0.375x.  Take half its coefficient (-0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
-0.375x + 0.03515625 + x2 = -0.75 + 0.03515625

Reorder the terms:
0.03515625 + -0.375x + x2 = -0.75 + 0.03515625

Combine like terms: -0.75 + 0.03515625 = -0.71484375
0.03515625 + -0.375x + x2 = -0.71484375

Factor a perfect square on the left side:
(x + -0.1875)(x + -0.1875) = -0.71484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.