4x(x+103)=0

Solution for 4x(x+103)=0 equation:

4x(x+103)=0

We multiply parentheses

4x^2+412x=0

a = 4; b = 412; c = 0;
Δ = b2-4ac
Δ = 4122-4·4·0
Δ = 169744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169744}=412$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(412)-412}{2*4}=\frac{-824}{8}
=-103
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(412)+412}{2*4}=\frac{0}{8}
=0
$