x(x-20)=180x=

Solution for x(x-20)=180x= equation:

x(x-20)=180x=

We move all terms to the left:

x(x-20)-(180x)=0

We add all the numbers together, and all the variables

-180x+x(x-20)=0

We multiply parentheses

x^2-180x-20x=0

We add all the numbers together, and all the variables

x^2-200x=0

a = 1; b = -200; c = 0;
Δ = b2-4ac
Δ = -2002-4·1·0
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-200)-200}{2*1}=\frac{0}{2}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+200}{2*1}=\frac{400}{2}
=200
$