(x)(x+5)=266

Solution for (x)(x+5)=266 equation:

(x)(x+5)=266

We move all terms to the left:

(x)(x+5)-(266)=0

We multiply parentheses

x^2+5x-266=0

a = 1; b = 5; c = -266;
Δ = b2-4ac
Δ = 52-4·1·(-266)
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-33}{2*1}=\frac{-38}{2}
=-19
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+33}{2*1}=\frac{28}{2}
=14
$