(3v-3)(4v+5)=0

Solution for (3v-3)(4v+5)=0 equation:

Simplifying
(3v + -3)(4v + 5) = 0

Reorder the terms:
(-3 + 3v)(4v + 5) = 0

Reorder the terms:
(-3 + 3v)(5 + 4v) = 0

Multiply (-3 + 3v) * (5 + 4v)
(-3(5 + 4v) + 3v * (5 + 4v)) = 0
((5 * -3 + 4v * -3) + 3v * (5 + 4v)) = 0
((-15 + -12v) + 3v * (5 + 4v)) = 0
(-15 + -12v + (5 * 3v + 4v * 3v)) = 0
(-15 + -12v + (15v + 12v2)) = 0

Combine like terms: -12v + 15v = 3v
(-15 + 3v + 12v2) = 0

Solving
-15 + 3v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + v + 4v2) = 0

Factor a trinomial.
3((-5 + -4v)(1 + -1v)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -4v)' equal to zero and attempt to solve:

Simplifying
-5 + -4v = 0

Solving
-5 + -4v = 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 + -4v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4v = 0 + 5
-4v = 0 + 5

Combine like terms: 0 + 5 = 5
-4v = 5

Divide each side by '-4'.
v = -1.25

Simplifying
v = -1.25
Subproblem 2
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
Solution
v = {-1.25, 1}