-7n^2-8n-9=-8n^2

Solution for -7n^2-8n-9=-8n^2 equation:

Simplifying
-7n2 + -8n + -9 = -8n2

Reorder the terms:
-9 + -8n + -7n2 = -8n2

Solving
-9 + -8n + -7n2 = -8n2

Solving for variable 'n'.

Combine like terms: -7n2 + 8n2 = 1n2
-9 + -8n + 1n2 = -8n2 + 8n2

Combine like terms: -8n2 + 8n2 = 0
-9 + -8n + 1n2 = 0

Factor a trinomial.
(-1 + -1n)(9 + -1n) = 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 + -1n)' equal to zero and attempt to solve:

Simplifying
9 + -1n = 0

Solving
9 + -1n = 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 + -1n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1n = 0 + -9
-1n = 0 + -9

Combine like terms: 0 + -9 = -9
-1n = -9

Divide each side by '-1'.
n = 9

Simplifying
n = 9
Solution
n = {-1, 9}