3/4x+2/8x=48/8

Solution for 3/4x+2/8x=48/8 equation:

3/4x+2/8x=48/8

We move all terms to the left:

3/4x+2/8x-(48/8)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

3/4x+2/8x-6=0

We calculate fractions


24x/32x^2+8x/32x^2-6=0

We multiply all the terms by the denominator


24x+8x-6*32x^2=0

We add all the numbers together, and all the variables

32x-6*32x^2=0

Wy multiply elements

-192x^2+32x=0

a = -192; b = 32; c = 0;
Δ = b2-4ac
Δ = 322-4·(-192)·0
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-32}{2*-192}=\frac{-64}{-384}
=1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+32}{2*-192}=\frac{0}{-384}
=0
$