5x(4x-32)=o

Solution for 5x(4x-32)=o equation:

5x(4x-32)=

We move all terms to the left:

5x(4x-32)-()=0

We add all the numbers together, and all the variables

5x(4x-32)=0

We multiply parentheses

20x^2-160x=0

a = 20; b = -160; c = 0;
Δ = b2-4ac
Δ = -1602-4·20·0
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-160)-160}{2*20}=\frac{0}{40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-160)+160}{2*20}=\frac{320}{40}
=8
$