w^2+0.11w=0.057

Simple and best practice solution for w^2+0.11w=0.057 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+0.11w=0.057 equation: 


Simplifying
w2 + 0.11w = 0.057

Reorder the terms:
0.11w + w2 = 0.057

Solving
0.11w + w2 = 0.057

Solving for variable 'w'.

Reorder the terms:
-0.057 + 0.11w + w2 = 0.057 + -0.057

Combine like terms: 0.057 + -0.057 = 0.000
-0.057 + 0.11w + w2 = 0.000

Begin completing the square.

Move the constant term to the right:

Add '0.057' to each side of the equation.
-0.057 + 0.11w + 0.057 + w2 = 0.000 + 0.057

Reorder the terms:
-0.057 + 0.057 + 0.11w + w2 = 0.000 + 0.057

Combine like terms: -0.057 + 0.057 = 0.000
0.000 + 0.11w + w2 = 0.000 + 0.057
0.11w + w2 = 0.000 + 0.057

Combine like terms: 0.000 + 0.057 = 0.057
0.11w + w2 = 0.057

The w term is 0.11w.  Take half its coefficient (0.055).
Square it (0.003025) and add it to both sides.

Add '0.003025' to each side of the equation.
0.11w + 0.003025 + w2 = 0.057 + 0.003025

Reorder the terms:
0.003025 + 0.11w + w2 = 0.057 + 0.003025

Combine like terms: 0.057 + 0.003025 = 0.060025
0.003025 + 0.11w + w2 = 0.060025

Factor a perfect square on the left side:
(w + 0.055)(w + 0.055) = 0.060025

Calculate the square root of the right side: 0.245

Break this problem into two subproblems by setting 
(w + 0.055) equal to 0.245 and -0.245.


Subproblem 1
w + 0.055 = 0.245

Simplifying
w + 0.055 = 0.245

Reorder the terms:
0.055 + w = 0.245

Solving
0.055 + w = 0.245

Solving for variable 'w'.

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

Add '-0.055' to each side of the equation.
0.055 + -0.055 + w = 0.245 + -0.055

Combine like terms: 0.055 + -0.055 = 0.000
0.000 + w = 0.245 + -0.055
w = 0.245 + -0.055

Combine like terms: 0.245 + -0.055 = 0.19
w = 0.19

Simplifying
w = 0.19


Subproblem 2
w + 0.055 = -0.245

Simplifying
w + 0.055 = -0.245

Reorder the terms:
0.055 + w = -0.245

Solving
0.055 + w = -0.245

Solving for variable 'w'.

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

Add '-0.055' to each side of the equation.
0.055 + -0.055 + w = -0.245 + -0.055

Combine like terms: 0.055 + -0.055 = 0.000
0.000 + w = -0.245 + -0.055
w = -0.245 + -0.055

Combine like terms: -0.245 + -0.055 = -0.3
w = -0.3

Simplifying
w = -0.3


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {0.19, -0.3}

See similar equations:

| 3=-3x+29 | | 0.5x/x | | -4(5x-2)=4(2x-3) | | x=9x+40 | | -6d-3d+3=-12 | | 20x^3-40x=0 | | 7x-21y=-14 | | 6l+4m-5l-4m-l+m= | | 3(4x-7)=-2(3x-5) | | 3X-4(X-2)=7+5(X+5) | | 3a=6(a-3) | | 5/3x18 | | 2(3x+8)=5(x+2) | | 20x^2-x-4=0 | | 15n^3+20n^2= | | 9x-2=x+6 | | x*55=-220 | | 27x^2+36x-6x-8= | | x/2=7/11 | | f(6)=.03x^2+.06x+31.4 | | 6n-3n*2n+n= | | (x-(-2i))(x+(-2i))=0 | | x/6=9/11 | | x^-2y^2/x^4y^-3 | | 4x+2y-3x-5y= | | 3a+2=4a+2 | | y+2=.8(x+4) | | (x^2)*logx=k | | q^2/q | | 3x-2=2x+15 | | 5u+1=8 | | 8(8-1)=4 |

Equations solver categories