-5x+2x(x-30)=x

Solution for -5x+2x(x-30)=x equation:

-5x+2x(x-30)=x

We move all terms to the left:

-5x+2x(x-30)-(x)=0

We add all the numbers together, and all the variables

-6x+2x(x-30)=0

We multiply parentheses

2x^2-6x-60x=0

We add all the numbers together, and all the variables

2x^2-66x=0

a = 2; b = -66; c = 0;
Δ = b2-4ac
Δ = -662-4·2·0
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-66)-66}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-66)+66}{2*2}=\frac{132}{4}
=33
$