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4x/3x*3x=4
We move all terms to the left:
4x/3x*3x-(4)=0
Domain of the equation: 3x*3x!=0We multiply all the terms by the denominator
x!=0/1
x!=0
x∈R
4x-4*3x*3x=0
Wy multiply elements
-36x^2*3+4x=0
Wy multiply elements
-108x^2+4x=0
a = -108; b = 4; c = 0;
Δ = b2-4ac
Δ = 42-4·(-108)·0
Δ = 16
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{16}=4$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4}{2*-108}=\frac{-8}{-216} =1/27 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4}{2*-108}=\frac{0}{-216} =0 $
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