3x/15=4x/5x

Solution for 3x/15=4x/5x equation:

3x/15=4x/5x

We move all terms to the left:

3x/15-(4x/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

3x/15-(+4x/5x)=0

We get rid of parentheses

3x/15-4x/5x=0

We calculate fractions


15x^2/75x+(-60x)/75x=0

We multiply all the terms by the denominator


15x^2+(-60x)=0

We get rid of parentheses

15x^2-60x=0

a = 15; b = -60; c = 0;
Δ = b2-4ac
Δ = -602-4·15·0
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-60}{2*15}=\frac{0}{30}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+60}{2*15}=\frac{120}{30}
=4
$