-6x+56=28+3(7+1/3x)

Solution for -6x+56=28+3(7+1/3x) equation:

-6x+56=28+3(7+1/3x)

We move all terms to the left:

-6x+56-(28+3(7+1/3x))=0


Domain of the equation: 3x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-6x-(28+3(1/3x+7))+56=0

We multiply all the terms by the denominator


-6x*3x+56*3x+7))-(28+3(1+7))=0

We add all the numbers together, and all the variables

-6x*3x+56*3x+7))-(28+38)=0

We add all the numbers together, and all the variables

-6x*3x+56*3x=0

Wy multiply elements

-18x^2+168x=0

a = -18; b = 168; c = 0;
Δ = b2-4ac
Δ = 1682-4·(-18)·0
Δ = 28224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{28224}=168$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(168)-168}{2*-18}=\frac{-336}{-36}
=9+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(168)+168}{2*-18}=\frac{0}{-36}
=0
$