-4(-6x+2)=-24(-x+1/3)

Solution for -4(-6x+2)=-24(-x+1/3) equation:

-4(-6x+2)=-24(-x+1/3)

We move all terms to the left:

-4(-6x+2)-(-24(-x+1/3))=0

We add all the numbers together, and all the variables

-4(-6x+2)-(-24(-1x+1/3))=0

We multiply parentheses

24x-(-24(-1x+1/3))-8=0

We multiply all the terms by the denominator


24x*3))-(-24(-1x+1-8*3))=0

We add all the numbers together, and all the variables

24x*3))-(-24(-1x-23))=0

We add all the numbers together, and all the variables

-1x+24x*3))-(-24(=0

Wy multiply elements

72x^2-1x=0

a = 72; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·72·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*72}=\frac{0}{144}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*72}=\frac{2}{144}
=1/72
$