245=x(x/5)

Solution for 245=x(x/5) equation:

245=x(x/5)

We move all terms to the left:

245-(x(x/5))=0

We add all the numbers together, and all the variables

-(x(+x/5))+245=0

We multiply all the terms by the denominator


-(x(+x+245*5))=0


We calculate terms in parentheses: -(x(+x+245*5)), so:

x(+x+245*5)

We add all the numbers together, and all the variables

x(x+1225)

We multiply parentheses

x^2+1225x

Back to the equation:

-(x^2+1225x)


We get rid of parentheses

-x^2-1225x=0

We add all the numbers together, and all the variables

-1x^2-1225x=0

a = -1; b = -1225; c = 0;
Δ = b2-4ac
Δ = -12252-4·(-1)·0
Δ = 1500625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1500625}=1225$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1225)-1225}{2*-1}=\frac{0}{-2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1225)+1225}{2*-1}=\frac{2450}{-2}
=-1225
$