3v(v-5)(v+8)=0

Simple and best practice solution for 3v(v-5)(v+8)=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(v-5)(v+8)=0 equation: 


Simplifying
3v(v + -5)(v + 8) = 0

Reorder the terms:
3v(-5 + v)(v + 8) = 0

Reorder the terms:
3v(-5 + v)(8 + v) = 0

Multiply (-5 + v) * (8 + v)
3v(-5(8 + v) + v(8 + v)) = 0
3v((8 * -5 + v * -5) + v(8 + v)) = 0
3v((-40 + -5v) + v(8 + v)) = 0
3v(-40 + -5v + (8 * v + v * v)) = 0
3v(-40 + -5v + (8v + v2)) = 0

Combine like terms: -5v + 8v = 3v
3v(-40 + 3v + v2) = 0
(-40 * 3v + 3v * 3v + v2 * 3v) = 0
(-120v + 9v2 + 3v3) = 0

Solving
-120v + 9v2 + 3v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3v'.
3v(-40 + 3v + v2) = 0

Factor a trinomial.
3v((-8 + -1v)(5 + -1v)) = 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 v to the left, all other terms to the right.

Simplifying
v = 0

Subproblem 2
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

Subproblem 3
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {0, -8, 5}

See similar equations:

| (2-y)(2y+3)=0 | | 21x-5=1+18x | | 2x^3*3x^6=0 | | (w-4)(w+3)=0 | | 10+1s=30+s | | 7+4-9=-6 | | (ax+b)(cx+d)=0 | | 3x+2(x-1)=3x-24+3x | | 3v^6+15v^5+42v^4=0 | | 5x^2-8x+2.25=0 | | -12=-5-5-6n+11 | | 15u^3+50u^2+35u=0 | | 3x-2+6=15 | | 12-3(2w+1)=5w-3(5+w) | | -27=8+5y | | 6y^2+29y=0 | | 15y^7-21y^6-18y^5=0 | | 3x+y=39 | | 2(2x+3)=3x+9 | | v^5+11v^4+32v^3=0 | | 2(x+5)=11+x | | 5x+4=3(x+2) | | ys+yq=r | | 125a^3-27b^3=0 | | a^2+3ab+b^2=2 | | 3+4/4=12 | | t^2+5t=6 | | u+v=10 | | 15+(6+7k)=2+6k | | 15x+20-10x-9=25x+8+21x-7 | | (3x-18)(x-3)=0 | | 7x-12=4x+15 |

Equations solver categories