10w^6-160w^2v^4=0

Simple and best practice solution for 10w^6-160w^2v^4=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 10w^6-160w^2v^4=0 equation: 


Simplifying
10w6 + -160w2v4 = 0

Reorder the terms:
-160v4w2 + 10w6 = 0

Solving
-160v4w2 + 10w6 = 0

Solving for variable 'v'.

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

Add '-10w6' to each side of the equation.
-160v4w2 + 10w6 + -10w6 = 0 + -10w6

Combine like terms: 10w6 + -10w6 = 0
-160v4w2 + 0 = 0 + -10w6
-160v4w2 = 0 + -10w6
Remove the zero:
-160v4w2 = -10w6

Divide each side by '-160w2'.
v4 = 0.0625w4

Simplifying
v4 = 0.0625w4

Combine like terms: 0.0625w4 + -0.0625w4 = 0.0000
v4 + -0.0625w4 = 0.0000

Factor a difference between two squares.
(v2 + 0.25w2)(v2 + -0.25w2) = 0.0000

Factor a difference between two squares.
(v2 + 0.25w2)((v + 0.5w)(v + -0.5w)) = 0.0000


Subproblem 1
Set the factor '(v2 + 0.25w2)' equal to zero and attempt to solve:

Simplifying
v2 + 0.25w2 = 0

Solving
v2 + 0.25w2 = 0

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

Add '-0.25w2' to each side of the equation.
v2 + 0.25w2 + -0.25w2 = 0 + -0.25w2

Combine like terms: 0.25w2 + -0.25w2 = 0.00
v2 + 0.00 = 0 + -0.25w2
v2 = 0 + -0.25w2
Remove the zero:
v2 = -0.25w2

Simplifying
v2 = -0.25w2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(v + 0.5w)' equal to zero and attempt to solve:

Simplifying
v + 0.5w = 0

Solving
v + 0.5w = 0

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

Add '-0.5w' to each side of the equation.
v + 0.5w + -0.5w = 0 + -0.5w

Combine like terms: 0.5w + -0.5w = 0.0
v + 0.0 = 0 + -0.5w
v = 0 + -0.5w
Remove the zero:
v = -0.5w

Simplifying
v = -0.5w

Subproblem 3
Set the factor '(v + -0.5w)' equal to zero and attempt to solve:

Simplifying
v + -0.5w = 0

Solving
v + -0.5w = 0

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

Add '0.5w' to each side of the equation.
v + -0.5w + 0.5w = 0 + 0.5w

Combine like terms: -0.5w + 0.5w = 0.0
v + 0.0 = 0 + 0.5w
v = 0 + 0.5w
Remove the zero:
v = 0.5w

Simplifying
v = 0.5w
Solution
v = {-0.5w, 0.5w}

See similar equations:

| 1/7(15)-2= | | 3(x-1)=-7(x+2)+27 | | 1/7(9)-2= | | 4x^2-1=1599 | | 6y-16=116 | | 1/7(3)-2= | | x-3+2x=41 | | f(x)=-x(x^2-3x-10) | | 1/7(-7)-2= | | H=16t^2+36t-10 | | 9(y-6)+2(y+1)=25 | | 3f-1=8 | | -8(3x+1)+4x=72 | | 6y-111=99 | | -3.1t=-24.8 | | 20-1/3=18 | | 4cotx+5=0 | | -7(4x+2)=42 | | 0=-80t-16t^2 | | (x+i)(x-1)(x+i)(x-1)(x+i)(x-1)=0 | | 24/30=x/5 | | p-4.8=-6.3 | | s(t)=t-9t+7 | | 5n+n=36 | | F(a-1)=4x+6 | | 3c^4+24c^3d+48c^2d^2=0 | | 12y=-3x | | -4y-6=78 | | F(a+5)=7x+1 | | -2x^2+7+1=17 | | (2x^1/6)^3x^2 | | -8u-8=-232 |

Equations solver categories