5n^2-6n-2=-3

Solution for 5n^2-6n-2=-3 equation:

Simplifying
5n2 + -6n + -2 = -3

Reorder the terms:
-2 + -6n + 5n2 = -3

Solving
-2 + -6n + 5n2 = -3

Solving for variable 'n'.

Reorder the terms:
-2 + 3 + -6n + 5n2 = -3 + 3

Combine like terms: -2 + 3 = 1
1 + -6n + 5n2 = -3 + 3

Combine like terms: -3 + 3 = 0
1 + -6n + 5n2 = 0

Factor a trinomial.
(1 + -5n)(1 + -1n) = 0

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

Simplifying
1 + -5n = 0

Solving
1 + -5n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5n = 0 + -1
-5n = 0 + -1

Combine like terms: 0 + -1 = -1
-5n = -1

Divide each side by '-5'.
n = 0.2

Simplifying
n = 0.2
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = 0 + -1
-1n = 0 + -1

Combine like terms: 0 + -1 = -1
-1n = -1

Divide each side by '-1'.
n = 1

Simplifying
n = 1
Solution
n = {0.2, 1}