3+4x^2=x-3

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

Simplifying
3 + 4x2 = x + -3

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

Solving
3 + 4x2 = -3 + x

Solving for variable 'x'.

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

Combine like terms: 3 + 3 = 6
6 + -1x + 4x2 = -3 + x + 3 + -1x

Reorder the terms:
6 + -1x + 4x2 = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
6 + -1x + 4x2 = 0 + x + -1x
6 + -1x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
6 + -1x + 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 -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.5 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.5 + 0.015625

Combine like terms: -1.5 + 0.015625 = -1.484375
0.015625 + -0.25x + x2 = -1.484375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.