5/4x-1/4x+10=9/14x

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Solution for 5/4x-1/4x+10=9/14x equation:



5/4x-1/4x+10=9/14x
We move all terms to the left:
5/4x-1/4x+10-(9/14x)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 14x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
5/4x-1/4x-(+9/14x)+10=0
We get rid of parentheses
5/4x-1/4x-9/14x+10=0
We calculate fractions
(-14x+5)/56x^2+(-36x)/56x^2+10=0
We multiply all the terms by the denominator
(-14x+5)+(-36x)+10*56x^2=0
Wy multiply elements
560x^2+(-14x+5)+(-36x)=0
We get rid of parentheses
560x^2-14x-36x+5=0
We add all the numbers together, and all the variables
560x^2-50x+5=0
a = 560; b = -50; c = +5;
Δ = b2-4ac
Δ = -502-4·560·5
Δ = -8700
Delta is less than zero, so there is no solution for the equation

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