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

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


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

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

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

Multiply (-3 + v) * (5 + v)
v(-3(5 + v) + v(5 + v)) = 0
v((5 * -3 + v * -3) + v(5 + v)) = 0
v((-15 + -3v) + v(5 + v)) = 0
v(-15 + -3v + (5 * v + v * v)) = 0
v(-15 + -3v + (5v + v2)) = 0

Combine like terms: -3v + 5v = 2v
v(-15 + 2v + v2) = 0
(-15 * v + 2v * v + v2 * v) = 0
(-15v + 2v2 + v3) = 0

Solving
-15v + 2v2 + v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-15 + 2v + v2) = 0

Factor a trinomial.
v((-5 + -1v)(3 + -1v)) = 0


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 '(-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

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

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {0, -5, 3}

See similar equations:

| 4*(2a+2)-5= | | 2(a^2+20)-21a=0 | | 60=k-33 | | 8+6x=2x+20 | | 3+8x=x+52 | | 6x-29=25 | | 6x-5=14x-3 | | 32*x^2+104*x-72= | | (x-8)(x-2)-7=0 | | 3+456764-344*2= | | 2*(x+1)=2 | | 8=-2(5-x) | | 20x+1x=41+1 | | 10-x=8-3x | | 2y=3+4+1 | | 1x+7=2x+2 | | -4(x-5)+2(2x+2)= | | 7x-19=2x-4 | | 2y=(7-2y)*2 | | 7y-4y=16 | | 2v^2=16v | | 3(3q-2)=2(2q+5) | | 7(2x-1)=11(x+1) | | 3(3q-3)=2(2q+5) | | 3x+6=2x-24 | | y+1=20-3 | | 4(x-5)=-8 | | x-2y=6v | | 4x+54=8x+14 | | 0.3y-2=7 | | -4w^2-19w+30=0 | | 43-7x=11x+21 |

Equations solver categories