(13v+8)x(5v-15)=0

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Solution for (13v+8)x(5v-15)=0 equation: 


Simplifying
(13v + 8) * x(5v + -15) = 0

Reorder the terms:
(8 + 13v) * x(5v + -15) = 0

Reorder the terms:
(8 + 13v) * x(-15 + 5v) = 0

Reorder the terms for easier multiplication:
x(8 + 13v)(-15 + 5v) = 0

Multiply (8 + 13v) * (-15 + 5v)
x(8(-15 + 5v) + 13v * (-15 + 5v)) = 0
x((-15 * 8 + 5v * 8) + 13v * (-15 + 5v)) = 0
x((-120 + 40v) + 13v * (-15 + 5v)) = 0
x(-120 + 40v + (-15 * 13v + 5v * 13v)) = 0
x(-120 + 40v + (-195v + 65v2)) = 0

Combine like terms: 40v + -195v = -155v
x(-120 + -155v + 65v2) = 0
(-120 * x + -155v * x + 65v2 * x) = 0

Reorder the terms:
(-155vx + 65v2x + -120x) = 0
(-155vx + 65v2x + -120x) = 0

Solving
-155vx + 65v2x + -120x = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-31v + 13v2 + -24) = 0

Factor a trinomial.
5x((v + -3)(13v + 8)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
v + -3 = 0

Reorder the terms:
-3 + v = 0

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

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

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

Simplifying
v = 3

Subproblem 3
Set the factor '(13v + 8)' equal to zero and attempt to solve:

Simplifying
13v + 8 = 0

Reorder the terms:
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
Solution
v = {3, -0.6153846154}

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