9n=-7n^2-2

Solution for 9n=-7n^2-2 equation:

Simplifying
9n = -7n2 + -2

Reorder the terms:
9n = -2 + -7n2

Solving
9n = -2 + -7n2

Solving for variable 'n'.

Reorder the terms:
2 + 9n + 7n2 = -2 + -7n2 + 2 + 7n2

Reorder the terms:
2 + 9n + 7n2 = -2 + 2 + -7n2 + 7n2

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

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

Factor a trinomial.
(1 + n)(2 + 7n) = 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 '(2 + 7n)' equal to zero and attempt to solve:

Simplifying
2 + 7n = 0

Solving
2 + 7n = 0

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

Add '-2' to each side of the equation.
2 + -2 + 7n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 7n = 0 + -2
7n = 0 + -2

Combine like terms: 0 + -2 = -2
7n = -2

Divide each side by '7'.
n = -0.2857142857

Simplifying
n = -0.2857142857
Solution
n = {-1, -0.2857142857}