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

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

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

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

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

Solving for variable 'n'.

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

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

Combine like terms: -6 + 6 = 0
1 + -3n + 2n2 = 0

Factor a trinomial.
(1 + -2n)(1 + -1n) = 0

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

Simplifying
1 + -2n = 0

Solving
1 + -2n = 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 + -2n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2n = 0 + -1
-2n = 0 + -1

Combine like terms: 0 + -1 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5
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 = {0.5, 1}