9x^2=32x

Solution for 9x^2=32x equation:

9x^2=32x

We move all terms to the left:

9x^2-(32x)=0

a = 9; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·9·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-32}{2*9}=\frac{0}{18}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*9}=\frac{64}{18}
=3+5/9
$