(13v+9)(4v-12)=0

Solution for (13v+9)(4v-12)=0 equation:

Simplifying
(13v + 9)(4v + -12) = 0

Reorder the terms:
(9 + 13v)(4v + -12) = 0

Reorder the terms:
(9 + 13v)(-12 + 4v) = 0

Multiply (9 + 13v) * (-12 + 4v)
(9(-12 + 4v) + 13v * (-12 + 4v)) = 0
((-12 * 9 + 4v * 9) + 13v * (-12 + 4v)) = 0
((-108 + 36v) + 13v * (-12 + 4v)) = 0
(-108 + 36v + (-12 * 13v + 4v * 13v)) = 0
(-108 + 36v + (-156v + 52v2)) = 0

Combine like terms: 36v + -156v = -120v
(-108 + -120v + 52v2) = 0

Solving
-108 + -120v + 52v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-27 + -30v + 13v2) = 0

Factor a trinomial.
4((-9 + -13v)(3 + -1v)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-9 + -13v)' equal to zero and attempt to solve:

Simplifying
-9 + -13v = 0

Solving
-9 + -13v = 0

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

Add '9' to each side of the equation.
-9 + 9 + -13v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -13v = 0 + 9
-13v = 0 + 9

Combine like terms: 0 + 9 = 9
-13v = 9

Divide each side by '-13'.
v = -0.6923076923

Simplifying
v = -0.6923076923
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 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 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {-0.6923076923, 3}