5-2/5x=1/2x=-4

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Solution for 5-2/5x=1/2x=-4 equation:



5-2/5x=1/2x=-4
We move all terms to the left:
5-2/5x-(1/2x)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
-2/5x-(+1/2x)+5=0
We get rid of parentheses
-2/5x-1/2x+5=0
We calculate fractions
(-4x)/10x^2+(-5x)/10x^2+5=0
We multiply all the terms by the denominator
(-4x)+(-5x)+5*10x^2=0
Wy multiply elements
50x^2+(-4x)+(-5x)=0
We get rid of parentheses
50x^2-4x-5x=0
We add all the numbers together, and all the variables
50x^2-9x=0
a = 50; b = -9; c = 0;
Δ = b2-4ac
Δ = -92-4·50·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9)-9}{2*50}=\frac{0}{100} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+9}{2*50}=\frac{18}{100} =9/50 $

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