360=(2x+7)(x)

Solution for 360=(2x+7)(x) equation:

360=(2x+7)(x)

We move all terms to the left:

360-((2x+7)(x))=0


We calculate terms in parentheses: -((2x+7)x), so:

(2x+7)x

We multiply parentheses

2x^2+7x

Back to the equation:

-(2x^2+7x)


We get rid of parentheses

-2x^2-7x+360=0

a = -2; b = -7; c = +360;
Δ = b2-4ac
Δ = -72-4·(-2)·360
Δ = 2929
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{-(-7)-\sqrt{2929}}{2*-2}=\frac{7-\sqrt{2929}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{2929}}{2*-2}=\frac{7+\sqrt{2929}}{-4}
$