5x^2+24x=324

Solution for 5x^2+24x=324 equation:

5x^2+24x=324

We move all terms to the left:

5x^2+24x-(324)=0

a = 5; b = 24; c = -324;
Δ = b2-4ac
Δ = 242-4·5·(-324)
Δ = 7056
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7056}=84$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-84}{2*5}=\frac{-108}{10}
=-10+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+84}{2*5}=\frac{60}{10}
=6
$