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

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

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

Multiply (5 + 2n) * (3 + -5n)
(5(3 + -5n) + 2n * (3 + -5n)) = 0
((3 * 5 + -5n * 5) + 2n * (3 + -5n)) = 0
((15 + -25n) + 2n * (3 + -5n)) = 0
(15 + -25n + (3 * 2n + -5n * 2n)) = 0
(15 + -25n + (6n + -10n2)) = 0

Combine like terms: -25n + 6n = -19n
(15 + -19n + -10n2) = 0

Solving
15 + -19n + -10n2 = 0

Solving for variable 'n'.

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

Subproblem 1
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
Subproblem 2
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
Solution
n = {0.6, -2.5}