X=0.2x^2-36x+17,550

Solution for X=0.2x^2-36x+17,550 equation:

X=0.2X^2-36X+17.550

We move all terms to the left:

X-(0.2X^2-36X+17.550)=0

We get rid of parentheses

-0.2X^2+X+36X-17.550=0

We add all the numbers together, and all the variables

-0.2X^2+37X-17.55=0

a = -0.2; b = 37; c = -17.55;
Δ = b2-4ac
Δ = 372-4·(-0.2)·(-17.55)
Δ = 1354.96
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{-(37)-\sqrt{1354.96}}{2*-0.2}=\frac{-37-\sqrt{1354.96}}{-0.4}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(37)+\sqrt{1354.96}}{2*-0.2}=\frac{-37+\sqrt{1354.96}}{-0.4}
$