x*(x+1)+109=x+(x+1)

Solution for x*(x+1)+109=x+(x+1) equation:

Simplifying
x(x + 1) + 109 = x + (x + 1)

Reorder the terms:
x(1 + x) + 109 = x + (x + 1)
(1 * x + x * x) + 109 = x + (x + 1)
(1x + x2) + 109 = x + (x + 1)

Reorder the terms:
109 + 1x + x2 = x + (x + 1)

Reorder the terms:
109 + 1x + x2 = x + (1 + x)

Remove parenthesis around (1 + x)
109 + 1x + x2 = x + 1 + x

Reorder the terms:
109 + 1x + x2 = 1 + x + x

Combine like terms: x + x = 2x
109 + 1x + x2 = 1 + 2x

Solving
109 + 1x + x2 = 1 + 2x

Solving for variable 'x'.

Reorder the terms:
109 + -1 + 1x + -2x + x2 = 1 + 2x + -1 + -2x

Combine like terms: 109 + -1 = 108
108 + 1x + -2x + x2 = 1 + 2x + -1 + -2x

Combine like terms: 1x + -2x = -1x
108 + -1x + x2 = 1 + 2x + -1 + -2x

Reorder the terms:
108 + -1x + x2 = 1 + -1 + 2x + -2x

Combine like terms: 1 + -1 = 0
108 + -1x + x2 = 0 + 2x + -2x
108 + -1x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
108 + -1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-108' to each side of the equation.
108 + -1x + -108 + x2 = 0 + -108

Reorder the terms:
108 + -108 + -1x + x2 = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -1x + x2 = 0 + -108
-1x + x2 = 0 + -108

Combine like terms: 0 + -108 = -108
-1x + x2 = -108

The x term is -1x.  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.
-1x + 0.25 + x2 = -108 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -108 + 0.25

Combine like terms: -108 + 0.25 = -107.75
0.25 + -1x + x2 = -107.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -107.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.