(2n+3)(2n-1)=

Solution for (2n+3)(2n-1)= equation:

Simplifying
(2n + 3)(2n + -1) = 0

Reorder the terms:
(3 + 2n)(2n + -1) = 0

Reorder the terms:
(3 + 2n)(-1 + 2n) = 0

Multiply (3 + 2n) * (-1 + 2n)
(3(-1 + 2n) + 2n * (-1 + 2n)) = 0
((-1 * 3 + 2n * 3) + 2n * (-1 + 2n)) = 0
((-3 + 6n) + 2n * (-1 + 2n)) = 0
(-3 + 6n + (-1 * 2n + 2n * 2n)) = 0
(-3 + 6n + (-2n + 4n2)) = 0

Combine like terms: 6n + -2n = 4n
(-3 + 4n + 4n2) = 0

Solving
-3 + 4n + 4n2 = 0

Solving for variable 'n'.

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

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 + -2n)' equal to zero and attempt to solve:

Simplifying
1 + -2n = 0

Solving
1 + -2n = 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 + -2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 0 + -1
-2n = 0 + -1

Combine like terms: 0 + -1 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5
Solution
n = {-1.5, 0.5}