25x-x/2x-15=3

Solution for 25x-x/2x-15=3 equation:

25x-x/2x-15=3

We move all terms to the left:

25x-x/2x-15-(3)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

25x-x/2x-18=0

We multiply all the terms by the denominator


25x*2x-x-18*2x=0

We add all the numbers together, and all the variables

-1x+25x*2x-18*2x=0

Wy multiply elements

50x^2-1x-36x=0

We add all the numbers together, and all the variables

50x^2-37x=0

a = 50; b = -37; c = 0;
Δ = b2-4ac
Δ = -372-4·50·0
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-37}{2*50}=\frac{0}{100}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+37}{2*50}=\frac{74}{100}
=37/50
$