350=(175-x/2)*x

Solution for 350=(175-x/2)*x equation:

350=(175-x/2)*x

We move all terms to the left:

350-((175-x/2)*x)=0


Domain of the equation: 2)*x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-((-x/2+175)*x)+350=0

We multiply all the terms by the denominator


-((-x+350*2+175)*x)=0


We calculate terms in parentheses: -((-x+350*2+175)*x), so:

(-x+350*2+175)*x

We add all the numbers together, and all the variables

(-1x+875)*x

We multiply parentheses

-1x^2+875x

Back to the equation:

-(-1x^2+875x)


We get rid of parentheses

1x^2-875x=0

We add all the numbers together, and all the variables

x^2-875x=0

a = 1; b = -875; c = 0;
Δ = b2-4ac
Δ = -8752-4·1·0
Δ = 765625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{765625}=875$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-875)-875}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-875)+875}{2*1}=\frac{1750}{2}
=875
$