(n)(2n-5)(10n+3)=0

Solution for (n)(2n-5)(10n+3)=0 equation:

Simplifying
(n)(2n + -5)(10n + 3) = 0

Reorder the terms:
n(-5 + 2n)(10n + 3) = 0

Reorder the terms:
n(-5 + 2n)(3 + 10n) = 0

Multiply (-5 + 2n) * (3 + 10n)
n(-5(3 + 10n) + 2n * (3 + 10n)) = 0
n((3 * -5 + 10n * -5) + 2n * (3 + 10n)) = 0
n((-15 + -50n) + 2n * (3 + 10n)) = 0
n(-15 + -50n + (3 * 2n + 10n * 2n)) = 0
n(-15 + -50n + (6n + 20n2)) = 0

Combine like terms: -50n + 6n = -44n
n(-15 + -44n + 20n2) = 0
(-15 * n + -44n * n + 20n2 * n) = 0
(-15n + -44n2 + 20n3) = 0

Solving
-15n + -44n2 + 20n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-15 + -44n + 20n2) = 0

Factor a trinomial.
n((-3 + -10n)(5 + -2n)) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-3 + -10n)' equal to zero and attempt to solve:

Simplifying
-3 + -10n = 0

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

Combine like terms: -3 + 3 = 0
0 + -10n = 0 + 3
-10n = 0 + 3

Combine like terms: 0 + 3 = 3
-10n = 3

Divide each side by '-10'.
n = -0.3

Simplifying
n = -0.3
Subproblem 3
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, -0.3, 2.5}