(1+v)(5v-6)=0

Solution for (1+v)(5v-6)=0 equation:

Simplifying
(1 + v)(5v + -6) = 0

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

Multiply (1 + v) * (-6 + 5v)
(1(-6 + 5v) + v(-6 + 5v)) = 0
((-6 * 1 + 5v * 1) + v(-6 + 5v)) = 0
((-6 + 5v) + v(-6 + 5v)) = 0
(-6 + 5v + (-6 * v + 5v * v)) = 0
(-6 + 5v + (-6v + 5v2)) = 0

Combine like terms: 5v + -6v = -1v
(-6 + -1v + 5v2) = 0

Solving
-6 + -1v + 5v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-1 + -1v = 0

Solving
-1 + -1v = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1v = 0 + 1

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

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

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

Simplifying
v = -1
Subproblem 2
Set the factor '(6 + -5v)' equal to zero and attempt to solve:

Simplifying
6 + -5v = 0

Solving
6 + -5v = 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 + -5v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5v = 0 + -6
-5v = 0 + -6

Combine like terms: 0 + -6 = -6
-5v = -6

Divide each side by '-5'.
v = 1.2

Simplifying
v = 1.2
Solution
v = {-1, 1.2}