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

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


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

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

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

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

Combine like terms: -25v + 6v = -19v
(-10 + -19v + 15v2) = 0

Solving
-10 + -19v + 15v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -5v)(5 + -3v) = 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 '(5 + -3v)' equal to zero and attempt to solve:

Simplifying
5 + -3v = 0

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

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

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

Divide each side by '-3'.
v = 1.666666667

Simplifying
v = 1.666666667
Solution
v = {-0.4, 1.666666667}

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