36n^2+8n-28=

Solution for 36n^2+8n-28= equation:

Simplifying
36n2 + 8n + -28 = 0

Reorder the terms:
-28 + 8n + 36n2 = 0

Solving
-28 + 8n + 36n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + 2n + 9n2) = 0

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

Ignore the factor 4.
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 '(7 + -9n)' equal to zero and attempt to solve:

Simplifying
7 + -9n = 0

Solving
7 + -9n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -9n = 0 + -7

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

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

Divide each side by '-9'.
n = 0.7777777778

Simplifying
n = 0.7777777778
Solution
n = {-1, 0.7777777778}