9-6x=4(1/2x-2x)

Solution for 9-6x=4(1/2x-2x) equation:

9-6x=4(1/2x-2x)

We move all terms to the left:

9-6x-(4(1/2x-2x))=0


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

x∈R


We add all the numbers together, and all the variables

-6x-(4(-2x+1/2x))+9=0

We multiply all the terms by the denominator


-6x*2x))-(4(-2x+9*2x))+1=0

We add all the numbers together, and all the variables

-2x-6x*2x))-(4(+9*2x))+1=0

Wy multiply elements

-12x^2-2x+18x=0

We add all the numbers together, and all the variables

-12x^2+16x=0

a = -12; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·(-12)·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*-12}=\frac{-32}{-24}
=1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*-12}=\frac{0}{-24}
=0
$