360=2x(x+35)

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

360=2x(x+35)

We move all terms to the left:

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


We calculate terms in parentheses: -(2x(x+35)), so:

2x(x+35)

We multiply parentheses

2x^2+70x

Back to the equation:

-(2x^2+70x)


We get rid of 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}
$