23/4x+1/2x=44

Solution for 23/4x+1/2x=44 equation:

23/4x+1/2x=44

We move all terms to the left:

23/4x+1/2x-(44)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We calculate fractions


46x/8x^2+4x/8x^2-44=0

We multiply all the terms by the denominator


46x+4x-44*8x^2=0

We add all the numbers together, and all the variables

50x-44*8x^2=0

Wy multiply elements

-352x^2+50x=0

a = -352; b = 50; c = 0;
Δ = b2-4ac
Δ = 502-4·(-352)·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(50)-50}{2*-352}=\frac{-100}{-704}
=25/176
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(50)+50}{2*-352}=\frac{0}{-704}
=0
$