16x+9x^2=57.2

Solution for 16x+9x^2=57.2 equation:

16x+9x^2=57.2

We move all terms to the left:

16x+9x^2-(57.2)=0

We add all the numbers together, and all the variables

9x^2+16x-57.2=0

a = 9; b = 16; c = -57.2;
Δ = b2-4ac
Δ = 162-4·9·(-57.2)
Δ = 2315.2
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{-(16)-\sqrt{2315.2}}{2*9}=\frac{-16-\sqrt{2315.2}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+\sqrt{2315.2}}{2*9}=\frac{-16+\sqrt{2315.2}}{18}
$