x(x+10)=880

Solution for x(x+10)=880 equation:

x(x+10)=880

We move all terms to the left:

x(x+10)-(880)=0

We multiply parentheses

x^2+10x-880=0

a = 1; b = 10; c = -880;
Δ = b2-4ac
Δ = 102-4·1·(-880)
Δ = 3620
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3620}=\sqrt{4*905}=\sqrt{4}*\sqrt{905}=2\sqrt{905}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{905}}{2*1}=\frac{-10-2\sqrt{905}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{905}}{2*1}=\frac{-10+2\sqrt{905}}{2}
$