w^2+2w+1*w+1=

Simple and best practice solution for w^2+2w+1*w+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 w^2+2w+1*w+1= equation: 


Simplifying
w2 + 2w + 1w + 1 = 0

Reorder the terms:
1 + 2w + 1w + w2 = 0

Combine like terms: 2w + 1w = 3w
1 + 3w + w2 = 0

Solving
1 + 3w + w2 = 0

Solving for variable 'w'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 3w + -1 + w2 = 0 + -1

Reorder the terms:
1 + -1 + 3w + w2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3w + w2 = 0 + -1
3w + w2 = 0 + -1

Combine like terms: 0 + -1 = -1
3w + w2 = -1

The w term is 3w.  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.
3w + 2.25 + w2 = -1 + 2.25

Reorder the terms:
2.25 + 3w + w2 = -1 + 2.25

Combine like terms: -1 + 2.25 = 1.25
2.25 + 3w + w2 = 1.25

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

Calculate the square root of the right side: 1.118033989

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


Subproblem 1
w + 1.5 = 1.118033989

Simplifying
w + 1.5 = 1.118033989

Reorder the terms:
1.5 + w = 1.118033989

Solving
1.5 + w = 1.118033989

Solving for variable 'w'.

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

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

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

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

Simplifying
w = -0.381966011


Subproblem 2
w + 1.5 = -1.118033989

Simplifying
w + 1.5 = -1.118033989

Reorder the terms:
1.5 + w = -1.118033989

Solving
1.5 + w = -1.118033989

Solving for variable 'w'.

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

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

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

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

Simplifying
w = -2.618033989


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

See similar equations:

| x+1+x+2+x+3+x+4+x+5+x+6=393 | | x+1+x+2+x+3+x+4+x+5+x+6=387 | | A(5)=4(3.14)(25) | | 5(x+6)=1y | | 5-2[4-(6x+5)]= | | 8x-15y=30 | | 3x+5=62 | | 16n+15n^2-15=0 | | 4f^2+3f-3=0 | | 78=09 | | 2n-15=9m+20 | | 175x+15=890 | | 2r^2+8r+7=0 | | ((16x1/6y^-2)/(x^-1/6y^6)) | | 3x(x+6)-x=2x+18 | | Gx=0.0625x-1.1 | | 12+9x+10x=180 | | A(5)=4(3.14)25 | | 11x+6+12x-3=180 | | 3x^3-2x^2-16x=0 | | 8d^2-8d-5=0 | | 3(q-2)+2=17 | | 5k-20-7k=27-22k+9 | | 3x(x+6)-x=2x | | 0=-16t^2+(136)(t)+0 | | 8-3(b-2)=23 | | 68=y/5 | | a-4.4=11.6 | | g(x)=0.25x^2-1.1 | | 9x+15+6+15=100 | | 9x+15+6+15=90 | | 9second=9n |

Equations solver categories