Answer
The solutions are -13 and 2.
Work Step by Step
$x^{2}$-26=-11x
$x^{2}$-26+11x=-11x+11x
$x^{2}$-26+11x=0
$x^{2}$+13x-2x-26=0
x(x+13)-2(x+13)=0
(x-2)(x+13)=0
x-2=0 or x+13=0
x-2+2=0+2 or x+13-13=0-13
x=2 or x=-13
The solutions are -13 and 2.
Chec
Let x=-13
$x^{2}$-26=-11x
$(-13)^{2}$-26=-11(-13)
169-26=143
143=143
Let x=2
$x^{2}$-26=-11x
$2^{2}$-26=-11*2
4-26=-22
-22=-22
