3x/5*x=15

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

3x/5*x=15

We move all terms to the left:

3x/5*x-(15)=0


Domain of the equation: 5*x!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


3x-15*5*x=0

Wy multiply elements

3x-75x*x=0

Wy multiply elements

-75x^2+3x=0

a = -75; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-75)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-75}=\frac{-6}{-150}
=1/25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-75}=\frac{0}{-150}
=0
$