2/75-114x=0/36x-58

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Solution for 2/75-114x=0/36x-58 equation: 



2/75-114x=0/36x-58

We move all terms to the left:

2/75-114x-(0/36x-58)=0



Domain of the equation: 36x-58)!=0

x∈R



We get rid of parentheses

-114x-0/36x+58+2/75=0

We calculate fractions


-114x+()/2700x+72x/2700x+58=0

We multiply all the terms by the denominator


-114x*2700x+72x+58*2700x+()=0

We add all the numbers together, and all the variables

72x-114x*2700x+58*2700x=0

Wy multiply elements

-307800x^2+72x+156600x=0

We add all the numbers together, and all the variables

-307800x^2+156672x=0

a = -307800; b = 156672; c = 0;
Δ = b2-4ac
Δ = 1566722-4·(-307800)·0
Δ = 24546115584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24546115584}=156672$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(156672)-156672}{2*-307800}=\frac{-313344}{-615600}
=2176/4275
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(156672)+156672}{2*-307800}=\frac{0}{-615600}
=0
$

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