10n^2+n-24=

Solution for 10n^2+n-24= equation:

Simplifying
10n2 + n + -24 = 0

Reorder the terms:
-24 + n + 10n2 = 0

Solving
-24 + n + 10n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-8 + -5n)(3 + -2n) = 0

Subproblem 1
Set the factor '(-8 + -5n)' equal to zero and attempt to solve:

Simplifying
-8 + -5n = 0

Solving
-8 + -5n = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5n = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5n = 0 + 8
-5n = 0 + 8

Combine like terms: 0 + 8 = 8
-5n = 8

Divide each side by '-5'.
n = -1.6

Simplifying
n = -1.6
Subproblem 2
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
Solution
n = {-1.6, 1.5}