2v(3v-2)(2v-1)=0

Simple and best practice solution for 2v(3v-2)(2v-1)=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 2v(3v-2)(2v-1)=0 equation: 


Simplifying
2v(3v + -2)(2v + -1) = 0

Reorder the terms:
2v(-2 + 3v)(2v + -1) = 0

Reorder the terms:
2v(-2 + 3v)(-1 + 2v) = 0

Multiply (-2 + 3v) * (-1 + 2v)
2v(-2(-1 + 2v) + 3v * (-1 + 2v)) = 0
2v((-1 * -2 + 2v * -2) + 3v * (-1 + 2v)) = 0
2v((2 + -4v) + 3v * (-1 + 2v)) = 0
2v(2 + -4v + (-1 * 3v + 2v * 3v)) = 0
2v(2 + -4v + (-3v + 6v2)) = 0

Combine like terms: -4v + -3v = -7v
2v(2 + -7v + 6v2) = 0
(2 * 2v + -7v * 2v + 6v2 * 2v) = 0
(4v + -14v2 + 12v3) = 0

Solving
4v + -14v2 + 12v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(2 + -7v + 6v2) = 0

Factor a trinomial.
2v((1 + -2v)(2 + -3v)) = 0

Ignore the factor 2.

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 '(1 + -2v)' equal to zero and attempt to solve:

Simplifying
1 + -2v = 0

Solving
1 + -2v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2v = 0 + -1
-2v = 0 + -1

Combine like terms: 0 + -1 = -1
-2v = -1

Divide each side by '-2'.
v = 0.5

Simplifying
v = 0.5

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

Simplifying
2 + -3v = 0

Solving
2 + -3v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {0, 0.5, 0.6666666667}

See similar equations:

| .04(x-12)+.06x=1.52 | | -51=3+9x | | a^2+3a-63= | | -8(t-5)-(t+8)=2 | | (5a-6b)(5a+6b)= | | 3t+3+3=7t+3 | | 9+2y-4=8y+8-5y | | 3a(5a-3)(3a-1)=0 | | 3(6z-1)-5(z+8)=10(z+1) | | n^2+7n-78= | | 2+45= | | .02*6000= | | 8*1.875+1.125y-9y=15 | | 9m+3m=24 | | n^2+7n-120= | | 10*-24= | | 9.2x+81.89=-10.8x+81.07 | | 2x-3(5-4x)=5+x | | 3=-8+u | | 5x^2-31-72=0 | | 3v(4v-3)(3v-1)=0 | | x^2-18x-88= | | 9.4x+23.24=-10.6x+22.96 | | b^2-3b=27+3b | | 20a^2-11a=3 | | 6.7x-1.8=25.0 | | 6x^2+120x+600= | | 3t=-33 | | 5n=-15 | | -7(t-4)(-t+2)=11 | | 45m^2-5=0 | | -23=4x |

Equations solver categories