1216-600=(38x-2x)(32x-2x)

Solution for 1216-600=(38x-2x)(32x-2x) equation:

1216-600=(38x-2x)(32x-2x)

We move all terms to the left:

1216-600-((38x-2x)(32x-2x))=0

We add all the numbers together, and all the variables

-((+36x)(+30x))+1216-600=0

We add all the numbers together, and all the variables

-((+36x)(+30x))+616=0

We multiply parentheses ..

-((+1080x^2))+616=0


We calculate terms in parentheses: -((+1080x^2)), so:

(+1080x^2)

We get rid of parentheses

1080x^2

Back to the equation:

-(1080x^2)


a = -1080; b = 0; c = +616;
Δ = b2-4ac
Δ = 02-4·(-1080)·616
Δ = 2661120
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2661120}=\sqrt{2304*1155}=\sqrt{2304}*\sqrt{1155}=48\sqrt{1155}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{1155}}{2*-1080}=\frac{0-48\sqrt{1155}}{-2160}
=-\frac{48\sqrt{1155}}{-2160}
=-\frac{\sqrt{1155}}{-45}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{1155}}{2*-1080}=\frac{0+48\sqrt{1155}}{-2160}
=\frac{48\sqrt{1155}}{-2160}
=\frac{\sqrt{1155}}{-45}
$