-7n^2+162n-936=0

Solution for -7n^2+162n-936=0 equation:

Simplifying
-7n2 + 162n + -936 = 0

Reorder the terms:
-936 + 162n + -7n2 = 0

Solving
-936 + 162n + -7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-12 + n)(78 + -7n) = 0

Subproblem 1
Set the factor '(-12 + n)' equal to zero and attempt to solve:

Simplifying
-12 + n = 0

Solving
-12 + n = 0

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

Add '12' to each side of the equation.
-12 + 12 + n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + n = 0 + 12
n = 0 + 12

Combine like terms: 0 + 12 = 12
n = 12

Simplifying
n = 12
Subproblem 2
Set the factor '(78 + -7n)' equal to zero and attempt to solve:

Simplifying
78 + -7n = 0

Solving
78 + -7n = 0

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

Add '-78' to each side of the equation.
78 + -78 + -7n = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -7n = 0 + -78
-7n = 0 + -78

Combine like terms: 0 + -78 = -78
-7n = -78

Divide each side by '-7'.
n = 11.14285714

Simplifying
n = 11.14285714
Solution
n = {12, 11.14285714}