x(x+10)=17100

Solution for x(x+10)=17100 equation:

x(x+10)=17100

We move all terms to the left:

x(x+10)-(17100)=0

We multiply parentheses

x^2+10x-17100=0

a = 1; b = 10; c = -17100;
Δ = b2-4ac
Δ = 102-4·1·(-17100)
Δ = 68500
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:

$\sqrt{\Delta}=\sqrt{68500}=\sqrt{100*685}=\sqrt{100}*\sqrt{685}=10\sqrt{685}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10\sqrt{685}}{2*1}=\frac{-10-10\sqrt{685}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10\sqrt{685}}{2*1}=\frac{-10+10\sqrt{685}}{2}
$