0=150x-1.75x^2

Solution for 0=150x-1.75x^2 equation:

0=150x-1.75x^2

We move all terms to the left:

0-(150x-1.75x^2)=0

We add all the numbers together, and all the variables

-(150x-1.75x^2)=0

We get rid of parentheses

1.75x^2-150x=0

a = 1.75; b = -150; c = 0;
Δ = b2-4ac
Δ = -1502-4·1.75·0
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-150)-150}{2*1.75}=\frac{0}{3.5}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-150)+150}{2*1.75}=\frac{300}{3.5}
=85+2.5/3.5
$