(5x+2)(x+0)=0

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

(5x+2)(x+0)=0

We add all the numbers together, and all the variables

(5x+2)(+x)=0

We multiply parentheses ..

(+5x^2+2x)=0

We get rid of parentheses

5x^2+2x=0

a = 5; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·5·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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