(-4n-4)(5n+1)=

Solution for (-4n-4)(5n+1)= equation:

Simplifying
(-4n + -4)(5n + 1) = 0

Reorder the terms:
(-4 + -4n)(5n + 1) = 0

Reorder the terms:
(-4 + -4n)(1 + 5n) = 0

Multiply (-4 + -4n) * (1 + 5n)
(-4(1 + 5n) + -4n * (1 + 5n)) = 0
((1 * -4 + 5n * -4) + -4n * (1 + 5n)) = 0
((-4 + -20n) + -4n * (1 + 5n)) = 0
(-4 + -20n + (1 * -4n + 5n * -4n)) = 0
(-4 + -20n + (-4n + -20n2)) = 0

Combine like terms: -20n + -4n = -24n
(-4 + -24n + -20n2) = 0

Solving
-4 + -24n + -20n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-4'.
-4(1 + 6n + 5n2) = 0

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

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

Simplifying
1 + n = 0

Solving
1 + n = 0

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

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

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

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

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

Simplifying
1 + 5n = 0

Solving
1 + 5n = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5n = 0 + -1
5n = 0 + -1

Combine like terms: 0 + -1 = -1
5n = -1

Divide each side by '5'.
n = -0.2

Simplifying
n = -0.2
Solution
n = {-1, -0.2}