2x(5x-2)=0

Solution for 2x(5x-2)=0 equation:

2x(5x-2)=0

We multiply parentheses

10x^2-4x=0

a = 10; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·10·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*10}=\frac{0}{20}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*10}=\frac{8}{20}
=2/5
$