3/4x+2/3x+15=1/3x+10

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Solution for 3/4x+2/3x+15=1/3x+10 equation: 



3/4x+2/3x+15=1/3x+10

We move all terms to the left:

3/4x+2/3x+15-(1/3x+10)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 3x+10)!=0

x∈R



We get rid of parentheses

3/4x+2/3x-1/3x-10+15=0

We calculate fractions


9x/12x^2+(-4x+2)/12x^2-10+15=0

We add all the numbers together, and all the variables

9x/12x^2+(-4x+2)/12x^2+5=0

We multiply all the terms by the denominator


9x+(-4x+2)+5*12x^2=0

Wy multiply elements

60x^2+9x+(-4x+2)=0

We get rid of parentheses

60x^2+9x-4x+2=0

We add all the numbers together, and all the variables

60x^2+5x+2=0

a = 60; b = 5; c = +2;
Δ = b2-4ac
Δ = 52-4·60·2
Δ = -455
Delta is less than zero, so there is no solution for the equation

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