(5v-3)(5v-2)=0

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Solution for (5v-3)(5v-2)=0 equation: 


Simplifying
(5v + -3)(5v + -2) = 0

Reorder the terms:
(-3 + 5v)(5v + -2) = 0

Reorder the terms:
(-3 + 5v)(-2 + 5v) = 0

Multiply (-3 + 5v) * (-2 + 5v)
(-3(-2 + 5v) + 5v * (-2 + 5v)) = 0
((-2 * -3 + 5v * -3) + 5v * (-2 + 5v)) = 0
((6 + -15v) + 5v * (-2 + 5v)) = 0
(6 + -15v + (-2 * 5v + 5v * 5v)) = 0
(6 + -15v + (-10v + 25v2)) = 0

Combine like terms: -15v + -10v = -25v
(6 + -25v + 25v2) = 0

Solving
6 + -25v + 25v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve:

Simplifying
3 + -5v = 0

Solving
3 + -5v = 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 + -5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5v = 0 + -3
-5v = 0 + -3

Combine like terms: 0 + -3 = -3
-5v = -3

Divide each side by '-5'.
v = 0.6

Simplifying
v = 0.6
Solution
v = {0.4, 0.6}

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