X+3=3/5x

Solution for X+3=3/5x equation:

X+3=3/5X

We move all terms to the left:

X+3-(3/5X)=0


Domain of the equation: 5X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+3/5X)+3=0

We get rid of parentheses

X-3/5X+3=0

We multiply all the terms by the denominator


X*5X+3*5X-3=0

Wy multiply elements

5X^2+15X-3=0

a = 5; b = 15; c = -3;
Δ = b2-4ac
Δ = 152-4·5·(-3)
Δ = 285
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{285}}{2*5}=\frac{-15-\sqrt{285}}{10}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{285}}{2*5}=\frac{-15+\sqrt{285}}{10}
$