2x+6x(2-5x)=x

Solution for 2x+6x(2-5x)=x equation:

2x+6x(2-5x)=x

We move all terms to the left:

2x+6x(2-5x)-(x)=0

We add all the numbers together, and all the variables

2x+6x(-5x+2)-x=0

We add all the numbers together, and all the variables

x+6x(-5x+2)=0

We multiply parentheses

-30x^2+x+12x=0

We add all the numbers together, and all the variables

-30x^2+13x=0

a = -30; b = 13; c = 0;
Δ = b2-4ac
Δ = 132-4·(-30)·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-13}{2*-30}=\frac{-26}{-60}
=13/30
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+13}{2*-30}=\frac{0}{-60}
=0
$