x(2)+(x/2)+(x+x)=360

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

x(2)+(x/2)+(x+x)=360

We move all terms to the left:

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

We add all the numbers together, and all the variables

x2+(+x/2)+(+2x)-360=0

We add all the numbers together, and all the variables

x^2+(+x/2)+(+2x)-360=0

We get rid of parentheses

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

x^2*2+x+2x*2-720=0

Wy multiply elements

2x^2+x+4x-720=0

We add all the numbers together, and all the variables

2x^2+5x-720=0

a = 2; b = 5; c = -720;
Δ = b2-4ac
Δ = 52-4·2·(-720)
Δ = 5785
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{5785}}{2*2}=\frac{-5-\sqrt{5785}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{5785}}{2*2}=\frac{-5+\sqrt{5785}}{4}
$