X(5x+2)+50=50

Solution for X(5x+2)+50=50 equation:

X(5X+2)+50=50

We move all terms to the left:

X(5X+2)+50-(50)=0

We add all the numbers together, and all the variables

X(5X+2)=0

We multiply 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
$