2w^2+16w-32=0

Simple and best practice solution for 2w^2+16w-32=0 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 2w^2+16w-32=0 equation: 


Simplifying
2w2 + 16w + -32 = 0

Reorder the terms:
-32 + 16w + 2w2 = 0

Solving
-32 + 16w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + 8w + w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + 8w + w2)' equal to zero and attempt to solve:

Simplifying
-16 + 8w + w2 = 0

Solving
-16 + 8w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '16' to each side of the equation.
-16 + 8w + 16 + w2 = 0 + 16

Reorder the terms:
-16 + 16 + 8w + w2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 8w + w2 = 0 + 16
8w + w2 = 0 + 16

Combine like terms: 0 + 16 = 16
8w + w2 = 16

The w term is 8w.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8w + 16 + w2 = 16 + 16

Reorder the terms:
16 + 8w + w2 = 16 + 16

Combine like terms: 16 + 16 = 32
16 + 8w + w2 = 32

Factor a perfect square on the left side:
(w + 4)(w + 4) = 32

Calculate the square root of the right side: 5.656854249

Break this problem into two subproblems by setting 
(w + 4) equal to 5.656854249 and -5.656854249.


Subproblem 1
w + 4 = 5.656854249

Simplifying
w + 4 = 5.656854249

Reorder the terms:
4 + w = 5.656854249

Solving
4 + w = 5.656854249

Solving for variable 'w'.

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

Add '-4' to each side of the equation.
4 + -4 + w = 5.656854249 + -4

Combine like terms: 4 + -4 = 0
0 + w = 5.656854249 + -4
w = 5.656854249 + -4

Combine like terms: 5.656854249 + -4 = 1.656854249
w = 1.656854249

Simplifying
w = 1.656854249


Subproblem 2
w + 4 = -5.656854249

Simplifying
w + 4 = -5.656854249

Reorder the terms:
4 + w = -5.656854249

Solving
4 + w = -5.656854249

Solving for variable 'w'.

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

Add '-4' to each side of the equation.
4 + -4 + w = -5.656854249 + -4

Combine like terms: 4 + -4 = 0
0 + w = -5.656854249 + -4
w = -5.656854249 + -4

Combine like terms: -5.656854249 + -4 = -9.656854249
w = -9.656854249

Simplifying
w = -9.656854249


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {1.656854249, -9.656854249}
Solution
w = {1.656854249, -9.656854249}

See similar equations:

| 5(y-17)=27 | | 0.0042= | | (12-4)+6= | | A(n)=-2+(n-1)(-2) | | 2(logx)=3 | | 6p^2=150 | | 6+x=6,4 | | W(2w+3)=65 | | 13x=58.5 | | 3x-1=3x+11 | | x+.08x=64.8 | | (x+9)(x+1)-(x-5)(x-1)= | | -2(2-7n)-12n=-6+3(n+1) | | -22=-40+x | | X/5=16.25 | | (2+x)(2+3x)=4+8x+3x^2 | | 10x-20=10x+2 | | 4m/-5=8 | | -4.2=-2.1x | | 20v+10= | | -448=64d | | 2w^2-6w-20=0 | | (b^1/3*c^5)^-4/3 | | 2x^2-5=a | | 8n=11.9 | | 9x^2(6x+8)= | | 18x^3+8x+24x^2=0 | | (7x-5)-(3x-2)=x | | 3/5=8/11x | | 8p-7q=2p-5 | | 10-2.5f=-3.5-4f | | 12+18y= |

Equations solver categories