3v(5b^2-38bv-16v^2)=0

Simple and best practice solution for 3v(5b^2-38bv-16v^2)=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 3v(5b^2-38bv-16v^2)=0 equation: 


Simplifying
3v(5b2 + -38bv + -16v2) = 0

Reorder the terms:
3v(-38bv + 5b2 + -16v2) = 0
(-38bv * 3v + 5b2 * 3v + -16v2 * 3v) = 0
(-114bv2 + 15b2v + -48v3) = 0

Solving
-114bv2 + 15b2v + -48v3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(-38bv + 5b2 + -16v2) = 0

Factor a trinomial.
3v((b + -8v)(5b + 2v)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Add '-1v' to each side of the equation.
v + -1v = 0 + -1v
Remove the zero:
0 = -1v

Simplifying
0 = -1v

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 '(b + -8v)' equal to zero and attempt to solve:

Simplifying
b + -8v = 0

Solving
b + -8v = 0

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

Add '8v' to each side of the equation.
b + -8v + 8v = 0 + 8v

Combine like terms: -8v + 8v = 0
b + 0 = 0 + 8v
b = 0 + 8v
Remove the zero:
b = 8v

Simplifying
b = 8v

Subproblem 3
Set the factor '(5b + 2v)' equal to zero and attempt to solve:

Simplifying
5b + 2v = 0

Solving
5b + 2v = 0

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

Add '-2v' to each side of the equation.
5b + 2v + -2v = 0 + -2v

Combine like terms: 2v + -2v = 0
5b + 0 = 0 + -2v
5b = 0 + -2v
Remove the zero:
5b = -2v

Divide each side by '5'.
b = -0.4v

Simplifying
b = -0.4v
Solution
b = {8v, -0.4v}

See similar equations:

| 9a+3a=50-10 | | 9x+4x=n | | -9k=162 | | 7.5+7.5+15=30 | | 3x^2+6x+q=0 | | 5(1+6p)=-175 | | 3t=84+85+87 | | 3t=84+85+84 | | 120=-6(6a-8) | | x-15/4=1/18 | | 7x-2(x-6)=5(8x-12)-(5-x) | | r=3*87-83-87 | | 120=-6-r+4r | | 3/5^x−7^1−x=0 | | x-3/8=3/20 | | 1-7r+4=19 | | 6a+2a=7-55 | | 5t^2-28tm+15m^2=0 | | 21+3a=6a | | 12=-6n+18 | | x=(30-2x)(20-2x)x | | 53=5+8x | | 0.52=ln(x) | | 9(8+a)=207 | | 0.52=log(x) | | 37=-2v+9 | | 13+5z=z-43 | | 4r+6t= | | 10(-2+n)=-170 | | -1=(b-5)/9 | | 15+4m=5(m+2) | | 3+2(2x+8)=1 |

Equations solver categories