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

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

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

We move all terms to the left:

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


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

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

We multiply parentheses

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

We multiply all the terms by the denominator


-8x*2x))-((+2*2x))-1=0

Wy multiply elements

-16x^2+4x=0

a = -16; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-16)·0
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-16}=\frac{-8}{-32}
=1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-16}=\frac{0}{-32}
=0
$