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2x-6x(x-3)=0
We multiply parentheses
-6x^2+2x+18x=0
We add all the numbers together, and all the variables
-6x^2+20x=0
a = -6; b = 20; c = 0;
Δ = b2-4ac
Δ = 202-4·(-6)·0
Δ = 400
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{400}=20$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20}{2*-6}=\frac{-40}{-12} =3+1/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20}{2*-6}=\frac{0}{-12} =0 $
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