2v(5v-2)(2v-1)=0

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Solution for 2v(5v-2)(2v-1)=0 equation: 


Simplifying
2v(5v + -2)(2v + -1) = 0

Reorder the terms:
2v(-2 + 5v)(2v + -1) = 0

Reorder the terms:
2v(-2 + 5v)(-1 + 2v) = 0

Multiply (-2 + 5v) * (-1 + 2v)
2v(-2(-1 + 2v) + 5v * (-1 + 2v)) = 0
2v((-1 * -2 + 2v * -2) + 5v * (-1 + 2v)) = 0
2v((2 + -4v) + 5v * (-1 + 2v)) = 0
2v(2 + -4v + (-1 * 5v + 2v * 5v)) = 0
2v(2 + -4v + (-5v + 10v2)) = 0

Combine like terms: -4v + -5v = -9v
2v(2 + -9v + 10v2) = 0
(2 * 2v + -9v * 2v + 10v2 * 2v) = 0
(4v + -18v2 + 20v3) = 0

Solving
4v + -18v2 + 20v3 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2v'.
2v(2 + -9v + 10v2) = 0

Factor a trinomial.
2v((2 + -5v)(1 + -2v)) = 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 '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

Solving
2 + -5v = 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 + -5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

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

Simplifying
v = 0.4

Subproblem 3
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
Solution
v = {0, 0.4, 0.5}

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