n^2+8n-26=7

Solution for n^2+8n-26=7 equation:

Simplifying
n2 + 8n + -26 = 7

Reorder the terms:
-26 + 8n + n2 = 7

Solving
-26 + 8n + n2 = 7

Solving for variable 'n'.

Reorder the terms:
-26 + -7 + 8n + n2 = 7 + -7

Combine like terms: -26 + -7 = -33
-33 + 8n + n2 = 7 + -7

Combine like terms: 7 + -7 = 0
-33 + 8n + n2 = 0

Factor a trinomial.
(-11 + -1n)(3 + -1n) = 0

Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve:

Simplifying
-11 + -1n = 0

Solving
-11 + -1n = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1n = 0 + 11
-1n = 0 + 11

Combine like terms: 0 + 11 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11
Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve:

Simplifying
3 + -1n = 0

Solving
3 + -1n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 0 + -3
-1n = 0 + -3

Combine like terms: 0 + -3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3
Solution
n = {-11, 3}