-4x^2+x-3=3

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

Simplifying
-4x2 + x + -3 = 3

Reorder the terms:
-3 + x + -4x2 = 3

Solving
-3 + x + -4x2 = 3

Solving for variable 'x'.

Reorder the terms:
-3 + -3 + x + -4x2 = 3 + -3

Combine like terms: -3 + -3 = -6
-6 + x + -4x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-6 + x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.5 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.25x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.25x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.25x + x2 = 0 + -1.5
-0.25x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.25x + x2 = -1.5

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.
-0.25x + 0.25 + x2 = -1.5 + 0.25

Reorder the terms:
0.25 + -0.25x + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + -0.25x + x2 = -1.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.