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

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


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

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

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

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

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

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

Solving for variable 'v'.

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


Subproblem 1
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

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

Simplifying
5 + -2v = 0

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

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

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

Divide each side by '-2'.
v = 2.5

Simplifying
v = 2.5
Solution
v = {-0.6, 2.5}

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