9x^2-45x=324

Solution for 9x^2-45x=324 equation:

9x^2-45x=324

We move all terms to the left:

9x^2-45x-(324)=0

a = 9; b = -45; c = -324;
Δ = b2-4ac
Δ = -452-4·9·(-324)
Δ = 13689
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13689}=117$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-45)-117}{2*9}=\frac{-72}{18}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45)+117}{2*9}=\frac{162}{18}
=9
$