2x(x+25)=95

Solution for 2x(x+25)=95 equation:

2x(x+25)=95

We move all terms to the left:

2x(x+25)-(95)=0

We multiply parentheses

2x^2+50x-95=0

a = 2; b = 50; c = -95;
Δ = b2-4ac
Δ = 502-4·2·(-95)
Δ = 3260
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:

$\sqrt{\Delta}=\sqrt{3260}=\sqrt{4*815}=\sqrt{4}*\sqrt{815}=2\sqrt{815}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-2\sqrt{815}}{2*2}=\frac{-50-2\sqrt{815}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+2\sqrt{815}}{2*2}=\frac{-50+2\sqrt{815}}{4}
$