3+4x(x+1)=0

Solution for 3+4x(x+1)=0 equation:

Simplifying
3 + 4x(x + 1) = 0

Reorder the terms:
3 + 4x(1 + x) = 0
3 + (1 * 4x + x * 4x) = 0
3 + (4x + 4x2) = 0

Solving
3 + 4x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
0.75 + x + x2 = 0

Move the constant term to the right:

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

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

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

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

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.
 + 0.25 + x2 = -0.75 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.75 + 0.25

Combine like terms: -0.75 + 0.25 = -0.5
1.25 + x2 = -0.5

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.