(-X/2)(5-x)=360

Solution for (-X/2)(5-x)=360 equation:

(-X/2)(5-X)=360

We move all terms to the left:

(-X/2)(5-X)-(360)=0


Domain of the equation: 2)(5-X)!=0

X∈R


We add all the numbers together, and all the variables

(-X/2)(-1X+5)-360=0

We multiply parentheses ..

(+X^2-5X)-360=0

We get rid of parentheses

X^2-5X-360=0

a = 1; b = -5; c = -360;
Δ = b2-4ac
Δ = -52-4·1·(-360)
Δ = 1465
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{-(-5)-\sqrt{1465}}{2*1}=\frac{5-\sqrt{1465}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{1465}}{2*1}=\frac{5+\sqrt{1465}}{2}
$