7n^2+19n-36=0

Solution for 7n^2+19n-36=0 equation:

Simplifying
7n2 + 19n + -36 = 0

Reorder the terms:
-36 + 19n + 7n2 = 0

Solving
-36 + 19n + 7n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-4 + -1n)(9 + -7n) = 0

Subproblem 1
Set the factor '(-4 + -1n)' equal to zero and attempt to solve:

Simplifying
-4 + -1n = 0

Solving
-4 + -1n = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1n = 0 + 4
-1n = 0 + 4

Combine like terms: 0 + 4 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4
Subproblem 2
Set the factor '(9 + -7n)' equal to zero and attempt to solve:

Simplifying
9 + -7n = 0

Solving
9 + -7n = 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 + -7n = 0 + -9

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

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

Divide each side by '-7'.
n = 1.285714286

Simplifying
n = 1.285714286
Solution
n = {-4, 1.285714286}