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3x/x=2x
We move all terms to the left:
3x/x-(2x)=0
Domain of the equation: x!=0We add all the numbers together, and all the variables
x∈R
-2x+3x/x=0
We multiply all the terms by the denominator
-2x*x+3x=0
We add all the numbers together, and all the variables
3x-2x*x=0
Wy multiply elements
-2x^2+3x=0
a = -2; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-2)·0
Δ = 9
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{9}=3x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-2}=\frac{-6}{-4} =1+1/2x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-2}=\frac{0}{-4} =0
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