-2n^2-7n+15=6

Solution for -2n^2-7n+15=6 equation:

Simplifying
-2n2 + -7n + 15 = 6

Reorder the terms:
15 + -7n + -2n2 = 6

Solving
15 + -7n + -2n2 = 6

Solving for variable 'n'.

Reorder the terms:
15 + -6 + -7n + -2n2 = 6 + -6

Combine like terms: 15 + -6 = 9
9 + -7n + -2n2 = 6 + -6

Combine like terms: 6 + -6 = 0
9 + -7n + -2n2 = 0

Factor a trinomial.
(1 + -1n)(9 + 2n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(9 + 2n)' equal to zero and attempt to solve:

Simplifying
9 + 2n = 0

Solving
9 + 2n = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2n = 0 + -9
2n = 0 + -9

Combine like terms: 0 + -9 = -9
2n = -9

Divide each side by '2'.
n = -4.5

Simplifying
n = -4.5
Solution
n = {1, -4.5}