x(x+95)=35

Solution for x(x+95)=35 equation:

x(x+95)=35

We move all terms to the left:

x(x+95)-(35)=0

We multiply parentheses

x^2+95x-35=0

a = 1; b = 95; c = -35;
Δ = b2-4ac
Δ = 952-4·1·(-35)
Δ = 9165
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{-(95)-\sqrt{9165}}{2*1}=\frac{-95-\sqrt{9165}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(95)+\sqrt{9165}}{2*1}=\frac{-95+\sqrt{9165}}{2}
$