/8x+4-2x=52

Solution for /8x+4-2x=52 equation:

/8x+4-2x=52

We move all terms to the left:

/8x+4-2x-(52)=0


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

-2x+/8x-48=0

We multiply all the terms by the denominator


-2x*8x-48*8x+=0

We add all the numbers together, and all the variables

-2x*8x-48*8x=0

Wy multiply elements

-16x^2-384x=0

a = -16; b = -384; c = 0;
Δ = b2-4ac
Δ = -3842-4·(-16)·0
Δ = 147456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{147456}=384$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-384)-384}{2*-16}=\frac{0}{-32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-384)+384}{2*-16}=\frac{768}{-32}
=-24
$