8x-12=4*(1/2x-6)

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Solution for 8x-12=4*(1/2x-6) equation:



8x-12=4(1/2x-6)
We move all terms to the left:
8x-12-(4(1/2x-6))=0
Domain of the equation: 2x-6))!=0
x∈R
We multiply all the terms by the denominator
8x*2x-12*2x-6))-(4(1-6))=0
We add all the numbers together, and all the variables
8x*2x-12*2x-6))-(4(-5))=0
We add all the numbers together, and all the variables
8x*2x-12*2x=0
Wy multiply elements
16x^2-24x=0
a = 16; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·16·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*16}=\frac{0}{32} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*16}=\frac{48}{32} =1+1/2 $

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