6x/7x=9x/10x-2

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Solution for 6x/7x=9x/10x-2 equation:



6x/7x=9x/10x-2
We move all terms to the left:
6x/7x-(9x/10x-2)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 10x-2)!=0
x∈R
We get rid of parentheses
6x/7x-9x/10x+2=0
We calculate fractions
(-63x^2)/70x^2+60x^2/70x^2+2=0
We multiply all the terms by the denominator
(-63x^2)+60x^2+2*70x^2=0
We add all the numbers together, and all the variables
60x^2+(-63x^2)+2*70x^2=0
Wy multiply elements
60x^2+(-63x^2)+140x^2=0
We get rid of parentheses
60x^2-63x^2+140x^2=0
We add all the numbers together, and all the variables
137x^2=0
a = 137; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·137·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation
Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{274}=0$

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