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

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

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

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

Add '2' to each side of the equation.
-2 + -6n + 2 + 5n2 = -2 + 2

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

Combine like terms: -2 + 2 = 0
0 + -6n + 5n2 = -2 + 2
-6n + 5n2 = -2 + 2

Combine like terms: -2 + 2 = 0
-6n + 5n2 = 0

Solving
-6n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-6 + 5n) = 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 '(-6 + 5n)' equal to zero and attempt to solve:

Simplifying
-6 + 5n = 0

Solving
-6 + 5n = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5n = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5n = 0 + 6
5n = 0 + 6

Combine like terms: 0 + 6 = 6
5n = 6

Divide each side by '5'.
n = 1.2

Simplifying
n = 1.2
Solution
n = {0, 1.2}