x2+26x+144=0.

Solution for x2+26x+144=0. equation:

x2+26x+144=0.

We add all the numbers together, and all the variables

x^2+26x+144=0

a = 1; b = 26; c = +144;
Δ = b2-4ac
Δ = 262-4·1·144
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(26)-10}{2*1}=\frac{-36}{2}
=-18
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(26)+10}{2*1}=\frac{-16}{2}
=-8
$