(2x-1)(x+1)=-3

Solution for (2x-1)(x+1)=-3 equation:

Simplifying
(2x + -1)(x + 1) = -3

Reorder the terms:
(-1 + 2x)(x + 1) = -3

Reorder the terms:
(-1 + 2x)(1 + x) = -3

Multiply (-1 + 2x) * (1 + x)
(-1(1 + x) + 2x * (1 + x)) = -3
((1 * -1 + x * -1) + 2x * (1 + x)) = -3
((-1 + -1x) + 2x * (1 + x)) = -3
(-1 + -1x + (1 * 2x + x * 2x)) = -3
(-1 + -1x + (2x + 2x2)) = -3

Combine like terms: -1x + 2x = 1x
(-1 + 1x + 2x2) = -3

Solving
-1 + 1x + 2x2 = -3

Solving for variable 'x'.

Reorder the terms:
-1 + 3 + 1x + 2x2 = -3 + 3

Combine like terms: -1 + 3 = 2
2 + 1x + 2x2 = -3 + 3

Combine like terms: -3 + 3 = 0
2 + 1x + 2x2 = 0

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

Divide each side by '2'.
1 + 0.5x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 0.5x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 0.5x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5x + x2 = 0 + -1
0.5x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
0.5x + x2 = -1

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = -1 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = -1 + 0.0625

Combine like terms: -1 + 0.0625 = -0.9375
0.0625 + 0.5x + x2 = -0.9375

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.