30x=x2-150x

Solution for 30x=x2-150x equation:

30x=x2-150x

We move all terms to the left:

30x-(x2-150x)=0

We add all the numbers together, and all the variables

-(+x^2-150x)+30x=0

We get rid of parentheses

-x^2+150x+30x=0

We add all the numbers together, and all the variables

-1x^2+180x=0

a = -1; b = 180; c = 0;
Δ = b2-4ac
Δ = 1802-4·(-1)·0
Δ = 32400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{32400}=180$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(180)-180}{2*-1}=\frac{-360}{-2}
=+180
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(180)+180}{2*-1}=\frac{0}{-2}
=0
$