X=750/10y

Solution for X=750/10y equation:

X=750/10X

We move all terms to the left:

X-(750/10X)=0


Domain of the equation: 10X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+750/10X)=0

We get rid of parentheses

X-750/10X=0

We multiply all the terms by the denominator


X*10X-750=0

Wy multiply elements

10X^2-750=0

a = 10; b = 0; c = -750;
Δ = b2-4ac
Δ = 02-4·10·(-750)
Δ = 30000
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:

$\sqrt{\Delta}=\sqrt{30000}=\sqrt{10000*3}=\sqrt{10000}*\sqrt{3}=100\sqrt{3}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{3}}{2*10}=\frac{0-100\sqrt{3}}{20}
=-\frac{100\sqrt{3}}{20}
=-5\sqrt{3}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{3}}{2*10}=\frac{0+100\sqrt{3}}{20}
=\frac{100\sqrt{3}}{20}
=5\sqrt{3}
$