72x-2x^2=576

Solution for 72x-2x^2=576 equation:

72x-2x^2=576

We move all terms to the left:

72x-2x^2-(576)=0

a = -2; b = 72; c = -576;
Δ = b2-4ac
Δ = 722-4·(-2)·(-576)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(72)-24}{2*-2}=\frac{-96}{-4}
=+24
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(72)+24}{2*-2}=\frac{-48}{-4}
=+12
$