-6x+56=28+4(7+1/4x)

Solution for -6x+56=28+4(7+1/4x) equation:

-6x+56=28+4(7+1/4x)

We move all terms to the left:

-6x+56-(28+4(7+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

-6x-(28+4(1/4x+7))+56=0

We multiply all the terms by the denominator


-6x*4x+56*4x+7))-(28+4(1+7))=0

We add all the numbers together, and all the variables

-6x*4x+56*4x+7))-(28+48)=0

We add all the numbers together, and all the variables

-6x*4x+56*4x=0

Wy multiply elements

-24x^2+224x=0

a = -24; b = 224; c = 0;
Δ = b2-4ac
Δ = 2242-4·(-24)·0
Δ = 50176
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{50176}=224$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(224)-224}{2*-24}=\frac{-448}{-48}
=9+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(224)+224}{2*-24}=\frac{0}{-48}
=0
$