-13=2n^2-3n-12

Solution for -13=2n^2-3n-12 equation:

Simplifying
-13 = 2n2 + -3n + -12

Reorder the terms:
-13 = -12 + -3n + 2n2

Solving
-13 = -12 + -3n + 2n2

Solving for variable 'n'.

Combine like terms: -13 + 12 = -1
-1 + 3n + -2n2 = -12 + -3n + 2n2 + 12 + 3n + -2n2

Reorder the terms:
-1 + 3n + -2n2 = -12 + 12 + -3n + 3n + 2n2 + -2n2

Combine like terms: -12 + 12 = 0
-1 + 3n + -2n2 = 0 + -3n + 3n + 2n2 + -2n2
-1 + 3n + -2n2 = -3n + 3n + 2n2 + -2n2

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

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

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

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

Simplifying
-1 + n = 0

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

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

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

Simplifying
n = 1
Subproblem 2
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
Solution
n = {1, 0.5}