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3-3/7x=-1/3x
We move all terms to the left:
3-3/7x-(-1/3x)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 3x)!=0We get rid of parentheses
x!=0/1
x!=0
x∈R
-3/7x+1/3x+3=0
We calculate fractions
(-9x)/21x^2+7x/21x^2+3=0
We multiply all the terms by the denominator
(-9x)+7x+3*21x^2=0
We add all the numbers together, and all the variables
7x+(-9x)+3*21x^2=0
Wy multiply elements
63x^2+7x+(-9x)=0
We get rid of parentheses
63x^2+7x-9x=0
We add all the numbers together, and all the variables
63x^2-2x=0
a = 63; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·63·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{4}=2$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*63}=\frac{0}{126} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*63}=\frac{4}{126} =2/63 $
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