-7n^2-40n=-12

Solution for -7n^2-40n=-12 equation:

Simplifying
-7n2 + -40n = -12

Reorder the terms:
-40n + -7n2 = -12

Solving
-40n + -7n2 = -12

Solving for variable 'n'.

Reorder the terms:
12 + -40n + -7n2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -40n + -7n2 = 0

Factor a trinomial.
(2 + -7n)(6 + n) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

Add '-6' to each side of the equation.
6 + -6 + n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + n = 0 + -6
n = 0 + -6

Combine like terms: 0 + -6 = -6
n = -6

Simplifying
n = -6
Solution
n = {0.2857142857, -6}