160=(2w+14)w

Simple and best practice solution for 160=(2w+14)w 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 160=(2w+14)w equation: 


Simplifying
160 = (2w + 14) * w

Reorder the terms:
160 = (14 + 2w) * w

Reorder the terms for easier multiplication:
160 = w(14 + 2w)
160 = (14 * w + 2w * w)
160 = (14w + 2w2)

Solving
160 = 14w + 2w2

Solving for variable 'w'.

Reorder the terms:
160 + -14w + -2w2 = 14w + -14w + 2w2 + -2w2

Combine like terms: 14w + -14w = 0
160 + -14w + -2w2 = 0 + 2w2 + -2w2
160 + -14w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
160 + -14w + -2w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(80 + -7w + -1w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(80 + -7w + -1w2)' equal to zero and attempt to solve:

Simplifying
80 + -7w + -1w2 = 0

Solving
80 + -7w + -1w2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
-80 + 7w + w2 = 0

Move the constant term to the right:

Add '80' to each side of the equation.
-80 + 7w + 80 + w2 = 0 + 80

Reorder the terms:
-80 + 80 + 7w + w2 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 7w + w2 = 0 + 80
7w + w2 = 0 + 80

Combine like terms: 0 + 80 = 80
7w + w2 = 80

The w term is 7w.  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.
7w + 12.25 + w2 = 80 + 12.25

Reorder the terms:
12.25 + 7w + w2 = 80 + 12.25

Combine like terms: 80 + 12.25 = 92.25
12.25 + 7w + w2 = 92.25

Factor a perfect square on the left side:
(w + 3.5)(w + 3.5) = 92.25

Calculate the square root of the right side: 9.604686356

Break this problem into two subproblems by setting 
(w + 3.5) equal to 9.604686356 and -9.604686356.


Subproblem 1
w + 3.5 = 9.604686356

Simplifying
w + 3.5 = 9.604686356

Reorder the terms:
3.5 + w = 9.604686356

Solving
3.5 + w = 9.604686356

Solving for variable 'w'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + w = 9.604686356 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + w = 9.604686356 + -3.5
w = 9.604686356 + -3.5

Combine like terms: 9.604686356 + -3.5 = 6.104686356
w = 6.104686356

Simplifying
w = 6.104686356


Subproblem 2
w + 3.5 = -9.604686356

Simplifying
w + 3.5 = -9.604686356

Reorder the terms:
3.5 + w = -9.604686356

Solving
3.5 + w = -9.604686356

Solving for variable 'w'.

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

Add '-3.5' to each side of the equation.
3.5 + -3.5 + w = -9.604686356 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + w = -9.604686356 + -3.5
w = -9.604686356 + -3.5

Combine like terms: -9.604686356 + -3.5 = -13.104686356
w = -13.104686356

Simplifying
w = -13.104686356


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {6.104686356, -13.104686356}
Solution
w = {6.104686356, -13.104686356}

See similar equations:

| x^3=40 | | 24x+16=19 | | 7r+56= | | 7r+8= | | 3b-6-12b-7= | | -8(2t+9)=-168 | | 4(f-5)=-4 | | (x+4)(3-5x)=6-3(x-1) | | (5x-10)=6x+5 | | -(3x-7y+1)= | | x=1287.4(17)+48470 | | 2(x-10)+(x-10)=46 | | 2(6x+2)=0 | | x^2+84-520=0 | | (3x-1)(2x+1)=0 | | x=1287.4(2017)+48470 | | 10(s-4)=-146 | | =31x-18y | | (2x^2-3x^3)-(9x^2-5x^3)=0 | | 100000=1287.4x+48470 | | (2x^2-3x^3)(9x^2-5x^3)=0 | | 22-3x=2 | | 18-2(5-3x)=-5x-3 | | (2x^2-3x^3)(9x^2-5x^3)= | | 4(d-8)+3= | | (4x-13y)-(-27x+5y)= | | 3(x+4)+3=-5(x-8)-1 | | 6(t+4)=-6 | | 7(r+9)= | | 10-48x-12=27x+36x | | 6w-w+5w= | | (16-10)x-35000=0 |

Equations solver categories