4x-16=4(1/2x-4)

Solution for 4x-16=4(1/2x-4) equation:

4x-16=4(1/2x-4)

We move all terms to the left:

4x-16-(4(1/2x-4))=0


Domain of the equation: 2x-4))!=0

x∈R


We multiply all the terms by the denominator


4x*2x-16*2x-4))-(4(1-4))=0

We add all the numbers together, and all the variables

4x*2x-16*2x-4))-(4(-3))=0

We add all the numbers together, and all the variables

4x*2x-16*2x=0

Wy multiply elements

8x^2-32x=0

a = 8; b = -32; c = 0;
Δ = b2-4ac
Δ = -322-4·8·0
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*8}=\frac{0}{16}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+32}{2*8}=\frac{64}{16}
=4
$