(1/4)*x-8=8

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Solution for (1/4)*x-8=8 equation:



(1/4)*x-8=8
We move all terms to the left:
(1/4)*x-8-(8)=0
Domain of the equation: 4)*x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+1/4)*x-8-8=0
We add all the numbers together, and all the variables
(+1/4)*x-16=0
We multiply parentheses
x^2-16=0
a = 1; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·1·(-16)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8}{2*1}=\frac{-8}{2} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8}{2*1}=\frac{8}{2} =4 $

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