X-10=(3/2x)

Solution for X-10=(3/2x) equation:

X-10=(3/2X)

We move all terms to the left:

X-10-((3/2X))=0


Domain of the equation: 2X))!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-((+3/2X))-10=0

We multiply all the terms by the denominator


X*2X))-((-10*2X))+3=0

Wy multiply elements

2X^2-20X=0

a = 2; b = -20; c = 0;
Δ = b2-4ac
Δ = -202-4·2·0
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-20}{2*2}=\frac{0}{4}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+20}{2*2}=\frac{40}{4}
=10
$