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

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

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

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

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

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

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

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

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

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

Reorder the terms for easier multiplication:
2 + -2x + x2 = 3x + 2(-1 + x)
2 + -2x + x2 = 3x + (-1 * 2 + x * 2)
2 + -2x + x2 = 3x + (-2 + 2x)

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

Combine like terms: 3x + 2x = 5x
2 + -2x + x2 = -2 + 5x

Solving
2 + -2x + x2 = -2 + 5x

Solving for variable 'x'.

Reorder the terms:
2 + 2 + -2x + -5x + x2 = -2 + 5x + 2 + -5x

Combine like terms: 2 + 2 = 4
4 + -2x + -5x + x2 = -2 + 5x + 2 + -5x

Combine like terms: -2x + -5x = -7x
4 + -7x + x2 = -2 + 5x + 2 + -5x

Reorder the terms:
4 + -7x + x2 = -2 + 2 + 5x + -5x

Combine like terms: -2 + 2 = 0
4 + -7x + x2 = 0 + 5x + -5x
4 + -7x + x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -7x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -7x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7x + x2 = 0 + -4
-7x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-7x + x2 = -4

The x term is -7x.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7x + 12.25 + x2 = -4 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -4 + 12.25

Combine like terms: -4 + 12.25 = 8.25
12.25 + -7x + x2 = 8.25

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = 8.25

Calculate the square root of the right side: 2.872281323

Break this problem into two subproblems by setting 
(x + -3.5) equal to 2.872281323 and -2.872281323.

Subproblem 1
x + -3.5 = 2.872281323

Simplifying
x + -3.5 = 2.872281323

Reorder the terms:
-3.5 + x = 2.872281323

Solving
-3.5 + x = 2.872281323

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = 2.872281323 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = 2.872281323 + 3.5
x = 2.872281323 + 3.5

Combine like terms: 2.872281323 + 3.5 = 6.372281323
x = 6.372281323

Simplifying
x = 6.372281323

Subproblem 2
x + -3.5 = -2.872281323

Simplifying
x + -3.5 = -2.872281323

Reorder the terms:
-3.5 + x = -2.872281323

Solving
-3.5 + x = -2.872281323

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3.5' to each side of the equation.
-3.5 + 3.5 + x = -2.872281323 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + x = -2.872281323 + 3.5
x = -2.872281323 + 3.5

Combine like terms: -2.872281323 + 3.5 = 0.627718677
x = 0.627718677

Simplifying
x = 0.627718677

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {6.372281323, 0.627718677}