-64x^2+125x=0

Solution for -64x^2+125x=0 equation:

-64x^2+125x=0

a = -64; b = 125; c = 0;
Δ = b2-4ac
Δ = 1252-4·(-64)·0
Δ = 15625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15625}=125$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(125)-125}{2*-64}=\frac{-250}{-128}
=1+61/64
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(125)+125}{2*-64}=\frac{0}{-128}
=0
$