-199=-4.9(x)^2+73(x)

Solution for -199=-4.9(x)^2+73(x) equation:

-199=-4.9(x)^2+73(x)

We move all terms to the left:

-199-(-4.9(x)^2+73(x))=0

We get rid of parentheses

4.9x^2-73x-199=0

a = 4.9; b = -73; c = -199;
Δ = b2-4ac
Δ = -732-4·4.9·(-199)
Δ = 9229.4
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{-(-73)-\sqrt{9229.4}}{2*4.9}=\frac{73-\sqrt{9229.4}}{9.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-73)+\sqrt{9229.4}}{2*4.9}=\frac{73+\sqrt{9229.4}}{9.8}
$