/2x-3=2x-5.

Solution for /2x-3=2x-5. equation:

/2x-3=2x-5.

We move all terms to the left:

/2x-3-(2x-5.)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

/2x-(2x-5)-3=0

We get rid of parentheses

/2x-2x+5-3=0

We multiply all the terms by the denominator


-2x*2x+5*2x-3*2x+=0

We add all the numbers together, and all the variables

-2x*2x+5*2x-3*2x=0

Wy multiply elements

-4x^2+10x-6x=0

We add all the numbers together, and all the variables

-4x^2+4x=0

a = -4; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-4)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-4}=\frac{-8}{-8}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-4}=\frac{0}{-8}
=0
$