0=(-3x^2)+x-4

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Solution for 0=(-3x^2)+x-4 equation: 


Simplifying
0 = (-3x2) + x + -4

Reorder the terms:
0 = -4 + x + (-3x2)

Solving
0 = -4 + x + (-3x2)

Solving for variable 'x'.

Combine like terms: 0 + 4 = 4
4 + -1x + (3x2) = -4 + x + (-3x2) + 4 + -1x + (3x2)

Reorder the terms:
4 + -1x + (3x2) = -4 + 4 + x + -1x + (-3x2) + (3x2)

Combine like terms: -4 + 4 = 0
4 + -1x + (3x2) = 0 + x + -1x + (-3x2) + (3x2)
4 + -1x + (3x2) = x + -1x + (-3x2) + (3x2)

Combine like terms: x + -1x = 0
4 + -1x + (3x2) = 0 + (-3x2) + (3x2)
4 + -1x + (3x2) = (-3x2) + (3x2)

Combine like terms: (-3x2) + (3x2) = 0
4 + -1x + (3x2) = 0

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

Divide each side by '3'.
1.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.3333333333x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.3333333333x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -1.333333333
-0.3333333333x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.3333333333x + x2 = -1.333333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -1.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -1.333333333 + 0.02777777779

Combine like terms: -1.333333333 + 0.02777777779 = -1.30555555521
0.02777777779 + -0.3333333333x + x2 = -1.30555555521

Factor a perfect square on the left side:
((x) + -0.1666666667)((x) + -0.1666666667) = -1.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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