120=615.44x(X/360)

Solution for 120=615.44x(X/360) equation:

120=615.44x(x/360)

We move all terms to the left:

120-(615.44x(x/360))=0

We add all the numbers together, and all the variables

-(615.44x(+x/360))+120=0

We multiply all the terms by the denominator


-(615.44x(+x+120*360))=0


We calculate terms in parentheses: -(615.44x(+x+120*360)), so:

615.44x(+x+120*360)

We add all the numbers together, and all the variables

615.44x(x+43200)

We multiply parentheses

615x^2+26568000x

Back to the equation:

-(615x^2+26568000x)


We get rid of parentheses

-615x^2-26568000x=0

a = -615; b = -26568000; c = 0;
Δ = b2-4ac
Δ = -265680002-4·(-615)·0
Δ = 705858624000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{705858624000000}=26568000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26568000)-26568000}{2*-615}=\frac{0}{-1230}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26568000)+26568000}{2*-615}=\frac{53136000}{-1230}
=-43200
$