(5n-3)(2n+1)=

Solution for (5n-3)(2n+1)= equation:

Simplifying
(5n + -3)(2n + 1) = 0

Reorder the terms:
(-3 + 5n)(2n + 1) = 0

Reorder the terms:
(-3 + 5n)(1 + 2n) = 0

Multiply (-3 + 5n) * (1 + 2n)
(-3(1 + 2n) + 5n * (1 + 2n)) = 0
((1 * -3 + 2n * -3) + 5n * (1 + 2n)) = 0
((-3 + -6n) + 5n * (1 + 2n)) = 0
(-3 + -6n + (1 * 5n + 2n * 5n)) = 0
(-3 + -6n + (5n + 10n2)) = 0

Combine like terms: -6n + 5n = -1n
(-3 + -1n + 10n2) = 0

Solving
-3 + -1n + 10n2 = 0

Solving for variable 'n'.

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

Subproblem 1
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
Subproblem 2
Set the factor '(3 + -5n)' equal to zero and attempt to solve:

Simplifying
3 + -5n = 0

Solving
3 + -5n = 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 + -5n = 0 + -3

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

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

Divide each side by '-5'.
n = 0.6

Simplifying
n = 0.6
Solution
n = {-0.5, 0.6}