(5n-1)(4n+6)=

Solution for (5n-1)(4n+6)= equation:

Simplifying
(5n + -1)(4n + 6) = 0

Reorder the terms:
(-1 + 5n)(4n + 6) = 0

Reorder the terms:
(-1 + 5n)(6 + 4n) = 0

Multiply (-1 + 5n) * (6 + 4n)
(-1(6 + 4n) + 5n * (6 + 4n)) = 0
((6 * -1 + 4n * -1) + 5n * (6 + 4n)) = 0
((-6 + -4n) + 5n * (6 + 4n)) = 0
(-6 + -4n + (6 * 5n + 4n * 5n)) = 0
(-6 + -4n + (30n + 20n2)) = 0

Combine like terms: -4n + 30n = 26n
(-6 + 26n + 20n2) = 0

Solving
-6 + 26n + 20n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 13n + 10n2) = 0

Factor a trinomial.
2((-3 + -2n)(1 + -5n)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {-1.5, 0.2}