437x(x-8)=0

Solution for 437x(x-8)=0 equation:

437x(x-8)=0

We multiply parentheses

437x^2-3496x=0

a = 437; b = -3496; c = 0;
Δ = b2-4ac
Δ = -34962-4·437·0
Δ = 12222016
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12222016}=3496$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3496)-3496}{2*437}=\frac{0}{874}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3496)+3496}{2*437}=\frac{6992}{874}
=8
$