(x-1)(x)=(2^20)(3^6)(5^5)(7^5)

Solution for (x-1)(x)=(2^20)(3^6)(5^5)(7^5) equation:

(x-1)(x)=(2^20)(3^6)(5^5)(7^5)

We move all terms to the left:

(x-1)(x)-((2^20)(3^6)(5^5)(7^5))=0

determiningTheFunctionDomain
(x-1)x-2^203^65^57^5=0

We add all the numbers together, and all the variables

(x-1)x=0

We multiply parentheses

x^2-1x=0

a = 1; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·1·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

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