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6x-6x^2=12x
We move all terms to the left:
6x-6x^2-(12x)=0
We add all the numbers together, and all the variables
-6x^2-6x=0
a = -6; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·(-6)·0
Δ = 36
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{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*-6}=\frac{0}{-12} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*-6}=\frac{12}{-12} =-1 $
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