X=76/10y

Solution for X=76/10y equation:

X=76/10X

We move all terms to the left:

X-(76/10X)=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-(+76/10X)=0

We get rid of parentheses

X-76/10X=0

We multiply all the terms by the denominator


X*10X-76=0

Wy multiply elements

10X^2-76=0

a = 10; b = 0; c = -76;
Δ = b2-4ac
Δ = 02-4·10·(-76)
Δ = 3040
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:

$\sqrt{\Delta}=\sqrt{3040}=\sqrt{16*190}=\sqrt{16}*\sqrt{190}=4\sqrt{190}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{190}}{2*10}=\frac{0-4\sqrt{190}}{20}
=-\frac{4\sqrt{190}}{20}
=-\frac{\sqrt{190}}{5}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{190}}{2*10}=\frac{0+4\sqrt{190}}{20}
=\frac{4\sqrt{190}}{20}
=\frac{\sqrt{190}}{5}
$