x(x+25)=310

Solution for x(x+25)=310 equation:

x(x+25)=310

We move all terms to the left:

x(x+25)-(310)=0

We multiply parentheses

x^2+25x-310=0

a = 1; b = 25; c = -310;
Δ = b2-4ac
Δ = 252-4·1·(-310)
Δ = 1865
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-\sqrt{1865}}{2*1}=\frac{-25-\sqrt{1865}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+\sqrt{1865}}{2*1}=\frac{-25+\sqrt{1865}}{2}
$