30*30=40x*10x

Solution for 30*30=40x*10x equation:

30*30=40x*10x

We move all terms to the left:

30*30-(40x*10x)=0

We add all the numbers together, and all the variables

-(+40x*10x)+30*30=0

We add all the numbers together, and all the variables

-(+40x*10x)+900=0

We get rid of parentheses

-40x*10x+900=0

Wy multiply elements

-400x^2+900=0

a = -400; b = 0; c = +900;
Δ = b2-4ac
Δ = 02-4·(-400)·900
Δ = 1440000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1440000}=1200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1200}{2*-400}=\frac{-1200}{-800}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1200}{2*-400}=\frac{1200}{-800}
=-1+1/2
$