-200=(34.2-50x)x

Solution for -200=(34.2-50x)x equation:

-200=(34.2-50x)x

We move all terms to the left:

-200-((34.2-50x)x)=0

We add all the numbers together, and all the variables

-((-50x+34.2)x)-200=0


We calculate terms in parentheses: -((-50x+34.2)x), so:

(-50x+34.2)x

We multiply parentheses

-50x^2+34.2x

Back to the equation:

-(-50x^2+34.2x)


We get rid of parentheses

50x^2-34.2x-200=0

a = 50; b = -34.2; c = -200;
Δ = b2-4ac
Δ = -34.22-4·50·(-200)
Δ = 41169.64
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{-(-34.2)-\sqrt{41169.64}}{2*50}=\frac{34.2-\sqrt{41169.64}}{100}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34.2)+\sqrt{41169.64}}{2*50}=\frac{34.2+\sqrt{41169.64}}{100}
$