(-4n+3)(3n+5)=

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

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

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

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

Multiply (3 + -4n) * (5 + 3n)
(3(5 + 3n) + -4n * (5 + 3n)) = 0
((5 * 3 + 3n * 3) + -4n * (5 + 3n)) = 0
((15 + 9n) + -4n * (5 + 3n)) = 0
(15 + 9n + (5 * -4n + 3n * -4n)) = 0
(15 + 9n + (-20n + -12n2)) = 0

Combine like terms: 9n + -20n = -11n
(15 + -11n + -12n2) = 0

Solving
15 + -11n + -12n2 = 0

Solving for variable 'n'.

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

Subproblem 1
Set the factor '(3 + -4n)' equal to zero and attempt to solve:

Simplifying
3 + -4n = 0

Solving
3 + -4n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -4n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4n = 0 + -3
-4n = 0 + -3

Combine like terms: 0 + -3 = -3
-4n = -3

Divide each side by '-4'.
n = 0.75

Simplifying
n = 0.75
Subproblem 2
Set the factor '(5 + 3n)' equal to zero and attempt to solve:

Simplifying
5 + 3n = 0

Solving
5 + 3n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3n = 0 + -5

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

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

Divide each side by '3'.
n = -1.666666667

Simplifying
n = -1.666666667
Solution
n = {0.75, -1.666666667}