(13v+8)(5v-2)=0

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Solution for (13v+8)(5v-2)=0 equation: 


Simplifying
(13v + 8)(5v + -2) = 0

Reorder the terms:
(8 + 13v)(5v + -2) = 0

Reorder the terms:
(8 + 13v)(-2 + 5v) = 0

Multiply (8 + 13v) * (-2 + 5v)
(8(-2 + 5v) + 13v * (-2 + 5v)) = 0
((-2 * 8 + 5v * 8) + 13v * (-2 + 5v)) = 0
((-16 + 40v) + 13v * (-2 + 5v)) = 0
(-16 + 40v + (-2 * 13v + 5v * 13v)) = 0
(-16 + 40v + (-26v + 65v2)) = 0

Combine like terms: 40v + -26v = 14v
(-16 + 14v + 65v2) = 0

Solving
-16 + 14v + 65v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -13v)(2 + -5v) = 0


Subproblem 1
Set the factor '(-8 + -13v)' equal to zero and attempt to solve:

Simplifying
-8 + -13v = 0

Solving
-8 + -13v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -13v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -13v = 0 + 8
-13v = 0 + 8

Combine like terms: 0 + 8 = 8
-13v = 8

Divide each side by '-13'.
v = -0.6153846154

Simplifying
v = -0.6153846154

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
Solution
v = {-0.6153846154, 0.4}

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