-56x/28x=x

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Solution for -56x/28x=x equation:



-56x/28x=x
We move all terms to the left:
-56x/28x-(x)=0
Domain of the equation: 28x!=0
x!=0/28
x!=0
x∈R
We add all the numbers together, and all the variables
-1x-56x/28x=0
We multiply all the terms by the denominator
-1x*28x-56x=0
We add all the numbers together, and all the variables
-56x-1x*28x=0
Wy multiply elements
-28x^2-56x=0
a = -28; b = -56; c = 0;
Δ = b2-4ac
Δ = -562-4·(-28)·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-56}{2*-28}=\frac{0}{-56} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+56}{2*-28}=\frac{112}{-56} =-2 $

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