(-4n-6)(2n+5)=

Solution for (-4n-6)(2n+5)= equation:

Simplifying
(-4n + -6)(2n + 5) = 0

Reorder the terms:
(-6 + -4n)(2n + 5) = 0

Reorder the terms:
(-6 + -4n)(5 + 2n) = 0

Multiply (-6 + -4n) * (5 + 2n)
(-6(5 + 2n) + -4n * (5 + 2n)) = 0
((5 * -6 + 2n * -6) + -4n * (5 + 2n)) = 0
((-30 + -12n) + -4n * (5 + 2n)) = 0
(-30 + -12n + (5 * -4n + 2n * -4n)) = 0
(-30 + -12n + (-20n + -8n2)) = 0

Combine like terms: -12n + -20n = -32n
(-30 + -32n + -8n2) = 0

Solving
-30 + -32n + -8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(15 + 16n + 4n2) = 0

Factor a trinomial.
-2((5 + 2n)(3 + 2n)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(5 + 2n)' equal to zero and attempt to solve:

Simplifying
5 + 2n = 0

Solving
5 + 2n = 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 + 2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2n = 0 + -5
2n = 0 + -5

Combine like terms: 0 + -5 = -5
2n = -5

Divide each side by '2'.
n = -2.5

Simplifying
n = -2.5
Subproblem 2
Set the factor '(3 + 2n)' equal to zero and attempt to solve:

Simplifying
3 + 2n = 0

Solving
3 + 2n = 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 + 2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 0 + -3
2n = 0 + -3

Combine like terms: 0 + -3 = -3
2n = -3

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5
Solution
n = {-2.5, -1.5}