2/8x+1/2x=44

Solution for 2/8x+1/2x=44 equation:

2/8x+1/2x=44

We move all terms to the left:

2/8x+1/2x-(44)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We calculate fractions


4x/16x^2+8x/16x^2-44=0

We multiply all the terms by the denominator


4x+8x-44*16x^2=0

We add all the numbers together, and all the variables

12x-44*16x^2=0

Wy multiply elements

-704x^2+12x=0

a = -704; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-704)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-704}=\frac{-24}{-1408}
=3/176
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-704}=\frac{0}{-1408}
=0
$