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

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
$