5n^2+n+2=2

Solution for 5n^2+n+2=2 equation:

Simplifying
5n2 + n + 2 = 2

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

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

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

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

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

Solving
n + 5n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + 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 '(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
Solution
n = {0, -0.2}