10n^2-23n+15=3

Solution for 10n^2-23n+15=3 equation:

Simplifying
10n2 + -23n + 15 = 3

Reorder the terms:
15 + -23n + 10n2 = 3

Solving
15 + -23n + 10n2 = 3

Solving for variable 'n'.

Reorder the terms:
15 + -3 + -23n + 10n2 = 3 + -3

Combine like terms: 15 + -3 = 12
12 + -23n + 10n2 = 3 + -3

Combine like terms: 3 + -3 = 0
12 + -23n + 10n2 = 0

Factor a trinomial.
(4 + -5n)(3 + -2n) = 0

Subproblem 1
Set the factor '(4 + -5n)' equal to zero and attempt to solve:

Simplifying
4 + -5n = 0

Solving
4 + -5n = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5n = 0 + -4
-5n = 0 + -4

Combine like terms: 0 + -4 = -4
-5n = -4

Divide each side by '-5'.
n = 0.8

Simplifying
n = 0.8
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 = {0.8, 1.5}