45x^2=54x

Solution for 45x^2=54x equation:

45x^2=54x

We move all terms to the left:

45x^2-(54x)=0

a = 45; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·45·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*45}=\frac{0}{90}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*45}=\frac{108}{90}
=1+1/5
$