x(10-2x)=0

Solution for x(10-2x)=0 equation:

x(10-2x)=0

We add all the numbers together, and all the variables

x(-2x+10)=0

We multiply parentheses

-2x^2+10x=0

a = -2; b = 10; c = 0;
Δ = b2-4ac
Δ = 102-4·(-2)·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-2}=\frac{-20}{-4}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-2}=\frac{0}{-4}
=0
$