2x*8x/4x-1=10

Solution for 2x*8x/4x-1=10 equation:

2x*8x/4x-1=10

We move all terms to the left:

2x*8x/4x-1-(10)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

2x*8x/4x-11=0

We multiply all the terms by the denominator


2x*8x-11*4x=0

Wy multiply elements

16x^2-44x=0

a = 16; b = -44; c = 0;
Δ = b2-4ac
Δ = -442-4·16·0
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-44}{2*16}=\frac{0}{32}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+44}{2*16}=\frac{88}{32}
=2+3/4
$