(x+1)(x+2)=1

Simple and best practice solution for (x+1)(x+2)=1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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


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

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

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

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

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

Solving
2 + 3x + x2 = 1

Solving for variable 'x'.

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 3x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 3x + x2 = 0 + -1

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

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

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -1 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -1 + 2.25

Combine like terms: -1 + 2.25 = 1.25
2.25 + 3x + x2 = 1.25

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 1.25

Calculate the square root of the right side: 1.118033989

Break this problem into two subproblems by setting 
(x + 1.5) equal to 1.118033989 and -1.118033989.


Subproblem 1
x + 1.5 = 1.118033989

Simplifying
x + 1.5 = 1.118033989

Reorder the terms:
1.5 + x = 1.118033989

Solving
1.5 + x = 1.118033989

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 1.118033989 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 1.118033989 + -1.5
x = 1.118033989 + -1.5

Combine like terms: 1.118033989 + -1.5 = -0.381966011
x = -0.381966011

Simplifying
x = -0.381966011


Subproblem 2
x + 1.5 = -1.118033989

Simplifying
x + 1.5 = -1.118033989

Reorder the terms:
1.5 + x = -1.118033989

Solving
1.5 + x = -1.118033989

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -1.118033989 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -1.118033989 + -1.5
x = -1.118033989 + -1.5

Combine like terms: -1.118033989 + -1.5 = -2.618033989
x = -2.618033989

Simplifying
x = -2.618033989


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.381966011, -2.618033989}

See similar equations:

| -3x(x+2)-(2x-5)= | | 7x-11-8x+16=-2 | | 69=3x-2(-6x-12) | | y^2-23y+46=0 | | 28=4x-16 | | 3w+11=56 | | 4g^2-20g=0 | | 5+7f=6+4f | | 3c=64-5c | | r^2=81r | | 4w=52 | | 5x+2(2x-7)=16 | | 16+8x-3x=12 | | 2d+8=3 | | 6*t=12 | | 0.77+0.11t=1.05t-0.64 | | 1200=12x+12 | | 2d+8=-3 | | X^2-4x=40-7x | | 1200=2x+12 | | 3.3x+35.1=2.7-12.9x | | 360=8x | | 3d+3d+4d-5-2d=0 | | 8x+8=2x-2 | | 12x^2-17x-5= | | (3+i)(6+4i)=0 | | 9q-12=9q-12 | | 4.1-19.7x=4.2-2x | | S^4-4s^3+6s^2-4s-1=0 | | 3w^2+16w=-5 | | 15w+12=12w-11 | | 2y^2+12y+15=0 |

Equations solver categories