2x(x+35)=360

Solution for 2x(x+35)=360 equation:

2x(x+35)=360

We move all terms to the left:

2x(x+35)-(360)=0

We multiply parentheses

2x^2+70x-360=0

a = 2; b = 70; c = -360;
Δ = b2-4ac
Δ = 702-4·2·(-360)
Δ = 7780
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:

$\sqrt{\Delta}=\sqrt{7780}=\sqrt{4*1945}=\sqrt{4}*\sqrt{1945}=2\sqrt{1945}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(70)-2\sqrt{1945}}{2*2}=\frac{-70-2\sqrt{1945}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(70)+2\sqrt{1945}}{2*2}=\frac{-70+2\sqrt{1945}}{4}
$