64x^2-81x=0

Solution for 64x^2-81x=0 equation:

64x^2-81x=0

a = 64; b = -81; c = 0;
Δ = b2-4ac
Δ = -812-4·64·0
Δ = 6561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6561}=81$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-81)-81}{2*64}=\frac{0}{128}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-81)+81}{2*64}=\frac{162}{128}
=1+17/64
$