2-x=2(3-1/4x)

Solution for 2-x=2(3-1/4x) equation:

2-x=2(3-1/4x)

We move all terms to the left:

2-x-(2(3-1/4x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-x-(2(-1/4x+3))+2=0

We add all the numbers together, and all the variables

-1x-(2(-1/4x+3))+2=0

We multiply all the terms by the denominator


-1x*4x+2*4x-1+3))-(2(+3))=0

We add all the numbers together, and all the variables

-1x*4x+2*4x-1+3))-(23)=0

We add all the numbers together, and all the variables

-1x*4x+2*4x=0

Wy multiply elements

-4x^2+8x=0

a = -4; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-4)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-4}=\frac{-16}{-8}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-4}=\frac{0}{-8}
=0
$