(3/(2x+10))-((3x)/(x^2-25))=0

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Solution for (3/(2x+10))-((3x)/(x^2-25))=0 equation:



(3/(2x+10))-((3x)/(x^2-25))=0
Domain of the equation: (2x+10))!=0
x∈R
Domain of the equation: (x^2-25))!=0
x∈R
We calculate fractions
(-6x^2-30x)/((2x+10))*x^2+(3x^2-75)/((2x+10))*x^2=0
We multiply all the terms by the denominator
(-6x^2-30x)+(3x^2-75)=0
We get rid of parentheses
-6x^2+3x^2-30x-75=0
We add all the numbers together, and all the variables
-3x^2-30x-75=0
a = -3; b = -30; c = -75;
Δ = b2-4ac
Δ = -302-4·(-3)·(-75)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{30}{-6}=-5$

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