x^2+11+(3x+1)-3=(x-1)-2

Solution for x^2+11+(3x+1)-3=(x-1)-2 equation:

Simplifying
x2 + 11 + (3x + 1) + -3 = (x + -1) + -2

Reorder the terms:
x2 + 11 + (1 + 3x) + -3 = (x + -1) + -2

Remove parenthesis around (1 + 3x)
x2 + 11 + 1 + 3x + -3 = (x + -1) + -2

Reorder the terms:
11 + 1 + -3 + 3x + x2 = (x + -1) + -2

Combine like terms: 11 + 1 = 12
12 + -3 + 3x + x2 = (x + -1) + -2

Combine like terms: 12 + -3 = 9
9 + 3x + x2 = (x + -1) + -2

Reorder the terms:
9 + 3x + x2 = (-1 + x) + -2

Remove parenthesis around (-1 + x)
9 + 3x + x2 = -1 + x + -2

Reorder the terms:
9 + 3x + x2 = -1 + -2 + x

Combine like terms: -1 + -2 = -3
9 + 3x + x2 = -3 + x

Solving
9 + 3x + x2 = -3 + x

Solving for variable 'x'.

Reorder the terms:
9 + 3 + 3x + -1x + x2 = -3 + x + 3 + -1x

Combine like terms: 9 + 3 = 12
12 + 3x + -1x + x2 = -3 + x + 3 + -1x

Combine like terms: 3x + -1x = 2x
12 + 2x + x2 = -3 + x + 3 + -1x

Reorder the terms:
12 + 2x + x2 = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
12 + 2x + x2 = 0 + x + -1x
12 + 2x + x2 = x + -1x

Combine like terms: x + -1x = 0
12 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + 2x + -12 + x2 = 0 + -12

Reorder the terms:
12 + -12 + 2x + x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 2x + x2 = 0 + -12
2x + x2 = 0 + -12

Combine like terms: 0 + -12 = -12
2x + x2 = -12

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -12 + 1

Reorder the terms:
1 + 2x + x2 = -12 + 1

Combine like terms: -12 + 1 = -11
1 + 2x + x2 = -11

Factor a perfect square on the left side:
(x + 1)(x + 1) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.