3x(x+10)=x

Solution for 3x(x+10)=x equation:

3x(x+10)=x

We move all terms to the left:

3x(x+10)-(x)=0

We add all the numbers together, and all the variables

-1x+3x(x+10)=0

We multiply parentheses

3x^2-1x+30x=0

We add all the numbers together, and all the variables

3x^2+29x=0

a = 3; b = 29; c = 0;
Δ = b2-4ac
Δ = 292-4·3·0
Δ = 841
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{841}=29$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-29}{2*3}=\frac{-58}{6}
=-9+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+29}{2*3}=\frac{0}{6}
=0
$