15n^2-16n-18=-3

Solution for 15n^2-16n-18=-3 equation:

Simplifying
15n2 + -16n + -18 = -3

Reorder the terms:
-18 + -16n + 15n2 = -3

Solving
-18 + -16n + 15n2 = -3

Solving for variable 'n'.

Reorder the terms:
-18 + 3 + -16n + 15n2 = -3 + 3

Combine like terms: -18 + 3 = -15
-15 + -16n + 15n2 = -3 + 3

Combine like terms: -3 + 3 = 0
-15 + -16n + 15n2 = 0

Factor a trinomial.
(-3 + -5n)(5 + -3n) = 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 + -3n)' equal to zero and attempt to solve:

Simplifying
5 + -3n = 0

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

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

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

Divide each side by '-3'.
n = 1.666666667

Simplifying
n = 1.666666667
Solution
n = {-0.6, 1.666666667}