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1/x-2-1/5x-10=4/5x-10
We move all terms to the left:
1/x-2-1/5x-10-(4/5x-10)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 5x-10)!=0We add all the numbers together, and all the variables
x∈R
1/x-1/5x-(4/5x-10)-12=0
We get rid of parentheses
1/x-1/5x-4/5x+10-12=0
We calculate fractions
5x/5x^2+(-4x-1)/5x^2+10-12=0
We add all the numbers together, and all the variables
5x/5x^2+(-4x-1)/5x^2-2=0
We multiply all the terms by the denominator
5x+(-4x-1)-2*5x^2=0
Wy multiply elements
-10x^2+5x+(-4x-1)=0
We get rid of parentheses
-10x^2+5x-4x-1=0
We add all the numbers together, and all the variables
-10x^2+x-1=0
a = -10; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·(-10)·(-1)
Δ = -39
Delta is less than zero, so there is no solution for the equation
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