(5v-3)(6v+5)=0

Solution for (5v-3)(6v+5)=0 equation:

Simplifying
(5v + -3)(6v + 5) = 0

Reorder the terms:
(-3 + 5v)(6v + 5) = 0

Reorder the terms:
(-3 + 5v)(5 + 6v) = 0

Multiply (-3 + 5v) * (5 + 6v)
(-3(5 + 6v) + 5v * (5 + 6v)) = 0
((5 * -3 + 6v * -3) + 5v * (5 + 6v)) = 0
((-15 + -18v) + 5v * (5 + 6v)) = 0
(-15 + -18v + (5 * 5v + 6v * 5v)) = 0
(-15 + -18v + (25v + 30v2)) = 0

Combine like terms: -18v + 25v = 7v
(-15 + 7v + 30v2) = 0

Solving
-15 + 7v + 30v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-5 + -6v = 0

Solving
-5 + -6v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -6v = 0 + 5

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

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

Divide each side by '-6'.
v = -0.8333333333

Simplifying
v = -0.8333333333
Subproblem 2
Set the factor '(3 + -5v)' equal to zero and attempt to solve:

Simplifying
3 + -5v = 0

Solving
3 + -5v = 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 + -5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5v = 0 + -3
-5v = 0 + -3

Combine like terms: 0 + -3 = -3
-5v = -3

Divide each side by '-5'.
v = 0.6

Simplifying
v = 0.6
Solution
v = {-0.8333333333, 0.6}