(11v+6)(5v-15)=0

Solution for (11v+6)(5v-15)=0 equation:

Simplifying
(11v + 6)(5v + -15) = 0

Reorder the terms:
(6 + 11v)(5v + -15) = 0

Reorder the terms:
(6 + 11v)(-15 + 5v) = 0

Multiply (6 + 11v) * (-15 + 5v)
(6(-15 + 5v) + 11v * (-15 + 5v)) = 0
((-15 * 6 + 5v * 6) + 11v * (-15 + 5v)) = 0
((-90 + 30v) + 11v * (-15 + 5v)) = 0
(-90 + 30v + (-15 * 11v + 5v * 11v)) = 0
(-90 + 30v + (-165v + 55v2)) = 0

Combine like terms: 30v + -165v = -135v
(-90 + -135v + 55v2) = 0

Solving
-90 + -135v + 55v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-18 + -27v + 11v2) = 0

Factor a trinomial.
5((-6 + -11v)(3 + -1v)) = 0

Ignore the factor 5.
Subproblem 1
Set the factor '(-6 + -11v)' equal to zero and attempt to solve:

Simplifying
-6 + -11v = 0

Solving
-6 + -11v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -11v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11v = 0 + 6
-11v = 0 + 6

Combine like terms: 0 + 6 = 6
-11v = 6

Divide each side by '-11'.
v = -0.5454545455

Simplifying
v = -0.5454545455
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 = {-0.5454545455, 3}