2w^2+8w-1280=0

Simple and best practice solution for 2w^2+8w-1280=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+8w-1280=0 equation: 


Simplifying
2w2 + 8w + -1280 = 0

Reorder the terms:
-1280 + 8w + 2w2 = 0

Solving
-1280 + 8w + 2w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-640 + 4w + w2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-640 + 4w + w2)' equal to zero and attempt to solve:

Simplifying
-640 + 4w + w2 = 0

Solving
-640 + 4w + w2 = 0

Begin completing the square.

Move the constant term to the right:

Add '640' to each side of the equation.
-640 + 4w + 640 + w2 = 0 + 640

Reorder the terms:
-640 + 640 + 4w + w2 = 0 + 640

Combine like terms: -640 + 640 = 0
0 + 4w + w2 = 0 + 640
4w + w2 = 0 + 640

Combine like terms: 0 + 640 = 640
4w + w2 = 640

The w term is 4w.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4w + 4 + w2 = 640 + 4

Reorder the terms:
4 + 4w + w2 = 640 + 4

Combine like terms: 640 + 4 = 644
4 + 4w + w2 = 644

Factor a perfect square on the left side:
(w + 2)(w + 2) = 644

Calculate the square root of the right side: 25.377155081

Break this problem into two subproblems by setting 
(w + 2) equal to 25.377155081 and -25.377155081.


Subproblem 1
w + 2 = 25.377155081

Simplifying
w + 2 = 25.377155081

Reorder the terms:
2 + w = 25.377155081

Solving
2 + w = 25.377155081

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + w = 25.377155081 + -2

Combine like terms: 2 + -2 = 0
0 + w = 25.377155081 + -2
w = 25.377155081 + -2

Combine like terms: 25.377155081 + -2 = 23.377155081
w = 23.377155081

Simplifying
w = 23.377155081


Subproblem 2
w + 2 = -25.377155081

Simplifying
w + 2 = -25.377155081

Reorder the terms:
2 + w = -25.377155081

Solving
2 + w = -25.377155081

Solving for variable 'w'.

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

Add '-2' to each side of the equation.
2 + -2 + w = -25.377155081 + -2

Combine like terms: 2 + -2 = 0
0 + w = -25.377155081 + -2
w = -25.377155081 + -2

Combine like terms: -25.377155081 + -2 = -27.377155081
w = -27.377155081

Simplifying
w = -27.377155081


Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {23.377155081, -27.377155081}
Solution
w = {23.377155081, -27.377155081}

See similar equations:

| .36(12)+.04x=0.12(18+x) | | 2w^2+8w-81=0 | | 1/3(2-5)=3 | | -6+11s+12q-5s-3q+22= | | y=(x+9)(x-1) | | 3x+10=x-17 | | -0.7x+0.6x-2=-4 | | 20/9.5=x | | 20/9.5 | | 3(3x+1)-7= | | 3x=-x-17 | | 3x=x-27 | | -195+-71= | | -49+-195= | | 13+13t+7n-2t-3n-19= | | x/7-4=-6 | | -23-27= | | 3x+x=-x-17+x | | 21-30= | | 3x-x=x-27-x | | -x+5=-13 | | 25+5s+10n-3s-3n+11= | | 3x+x=x-27-x | | 3x+x=4x | | 750=.13m+585 | | 2x+4-3(2x-1)=3(4-3x)+2-x | | 1-x-(1-x)=0 | | 1-24-(3x-5)=3x+1 | | 3600-.8y=y | | 3x(2x+4)=-2 | | -2x-(4x-5)=5x | | v+(v-32.6)+(v+23.2)=190.4 |

Equations solver categories