5x(x+132)=x

Solution for 5x(x+132)=x equation:

5x(x+132)=x

We move all terms to the left:

5x(x+132)-(x)=0

We add all the numbers together, and all the variables

-1x+5x(x+132)=0

We multiply parentheses

5x^2-1x+660x=0

We add all the numbers together, and all the variables

5x^2+659x=0

a = 5; b = 659; c = 0;
Δ = b2-4ac
Δ = 6592-4·5·0
Δ = 434281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{434281}=659$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(659)-659}{2*5}=\frac{-1318}{10}
=-131+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(659)+659}{2*5}=\frac{0}{10}
=0
$