(x+1)[2x+1]=x+0.25

Solution for (x+1)[2x+1]=x+0.25 equation:

Simplifying
(x + 1)[2x + 1] = x + 0.25

Reorder the terms:
(1 + x)[2x + 1] = x + 0.25

Reorder the terms:
(1 + x)[1 + 2x] = x + 0.25

Multiply (1 + x) * [1 + 2x]
(1[1 + 2x] + x[1 + 2x]) = x + 0.25
([1 * 1 + 2x * 1] + x[1 + 2x]) = x + 0.25
([1 + 2x] + x[1 + 2x]) = x + 0.25
(1 + 2x + [1 * x + 2x * x]) = x + 0.25
(1 + 2x + [1x + 2x2]) = x + 0.25

Combine like terms: 2x + 1x = 3x
(1 + 3x + 2x2) = x + 0.25

Reorder the terms:
1 + 3x + 2x2 = 0.25 + x

Solving
1 + 3x + 2x2 = 0.25 + x

Solving for variable 'x'.

Reorder the terms:
1 + -0.25 + 3x + -1x + 2x2 = 0.25 + x + -0.25 + -1x

Combine like terms: 1 + -0.25 = 0.75
0.75 + 3x + -1x + 2x2 = 0.25 + x + -0.25 + -1x

Combine like terms: 3x + -1x = 2x
0.75 + 2x + 2x2 = 0.25 + x + -0.25 + -1x

Reorder the terms:
0.75 + 2x + 2x2 = 0.25 + -0.25 + x + -1x

Combine like terms: 0.25 + -0.25 = 0.00
0.75 + 2x + 2x2 = 0.00 + x + -1x
0.75 + 2x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
0.75 + 2x + 2x2 = 0

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

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

Move the constant term to the right:

Add '-0.375' to each side of the equation.
0.375 + x + -0.375 + x2 = 0 + -0.375

Reorder the terms:
0.375 + -0.375 + x + x2 = 0 + -0.375

Combine like terms: 0.375 + -0.375 = 0.000
0.000 + x + x2 = 0 + -0.375
x + x2 = 0 + -0.375

Combine like terms: 0 + -0.375 = -0.375
x + x2 = -0.375

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 = -0.375 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.375 + 0.25

Combine like terms: -0.375 + 0.25 = -0.125
1.25 + x2 = -0.125

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.