4x-9*29.4/4x=8

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Solution for 4x-9*29.4/4x=8 equation: 



4x-9*29.4/4x=8

We move all terms to the left:

4x-9*29.4/4x-(8)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



We multiply all the terms by the denominator


4x*4x-8*4x-9*29.4=0

We add all the numbers together, and all the variables

4x*4x-8*4x-264.6=0

Wy multiply elements

16x^2-32x-264.6=0

a = 16; b = -32; c = -264.6;
Δ = b2-4ac
Δ = -322-4·16·(-264.6)
Δ = 17958.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-\sqrt{17958.4}}{2*16}=\frac{32-\sqrt{17958.4}}{32}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+\sqrt{17958.4}}{2*16}=\frac{32+\sqrt{17958.4}}{32}
$

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