10=33.8x(X/1620)

Solution for 10=33.8x(X/1620) equation:

10=33.8x(x/1620)

We move all terms to the left:

10-(33.8x(x/1620))=0

We add all the numbers together, and all the variables

-(33.8x(+x/1620))+10=0

We multiply all the terms by the denominator


-(33.8x(+x+10*1620))=0


We calculate terms in parentheses: -(33.8x(+x+10*1620)), so:

33.8x(+x+10*1620)

We add all the numbers together, and all the variables

33.8x(x+16200)

We multiply parentheses

33x^2+534600x

Back to the equation:

-(33x^2+534600x)


We get rid of parentheses

-33x^2-534600x=0

a = -33; b = -534600; c = 0;
Δ = b2-4ac
Δ = -5346002-4·(-33)·0
Δ = 285797160000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{285797160000}=534600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-534600)-534600}{2*-33}=\frac{0}{-66}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-534600)+534600}{2*-33}=\frac{1069200}{-66}
=-16200
$