4(x^2+x+1)=x-1

Solution for 4(x^2+x+1)=x-1 equation:

Simplifying
4(x2 + x + 1) = x + -1

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

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

Solving
4 + 4x + 4x2 = -1 + x

Solving for variable 'x'.

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

Combine like terms: 4 + 1 = 5
5 + 4x + -1x + 4x2 = -1 + x + 1 + -1x

Combine like terms: 4x + -1x = 3x
5 + 3x + 4x2 = -1 + x + 1 + -1x

Reorder the terms:
5 + 3x + 4x2 = -1 + 1 + x + -1x

Combine like terms: -1 + 1 = 0
5 + 3x + 4x2 = 0 + x + -1x
5 + 3x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
5 + 3x + 4x2 = 0

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

Divide each side by '4'.
1.25 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.75x + -1.25 + x2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.75x + x2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.75x + x2 = 0 + -1.25
0.75x + x2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.75x + x2 = -1.25

The x term is 0.75x.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75x + 0.140625 + x2 = -1.25 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -1.25 + 0.140625

Combine like terms: -1.25 + 0.140625 = -1.109375
0.140625 + 0.75x + x2 = -1.109375

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.