5x*15/2x=x

Solution for 5x*15/2x=x equation:

5x*15/2x=x

We move all terms to the left:

5x*15/2x-(x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+5x*15/2x=0

We multiply all the terms by the denominator


-1x*2x+5x*15=0

Wy multiply elements

-2x^2+75x=0

a = -2; b = 75; c = 0;
Δ = b2-4ac
Δ = 752-4·(-2)·0
Δ = 5625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5625}=75$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(75)-75}{2*-2}=\frac{-150}{-4}
=37+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+75}{2*-2}=\frac{0}{-4}
=0
$