3+x-3x^2=9

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

Simplifying
3 + x + -3x2 = 9

Solving
3 + x + -3x2 = 9

Solving for variable 'x'.

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

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

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

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
2 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -0.3333333333x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -0.3333333333x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -0.3333333333x + x2 = 0 + -2
-0.3333333333x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-0.3333333333x + x2 = -2

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333x + 0.25 + x2 = -2 + 0.25

Reorder the terms:
0.25 + -0.3333333333x + x2 = -2 + 0.25

Combine like terms: -2 + 0.25 = -1.75
0.25 + -0.3333333333x + x2 = -1.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.