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-2b(-3b)=-b
We move all terms to the left:
-2b(-3b)-(-b)=0
We add all the numbers together, and all the variables
-2b(-3b)-(-1b)=0
We multiply parentheses
6b^2-(-1b)=0
We get rid of parentheses
6b^2+1b=0
We add all the numbers together, and all the variables
6b^2+b=0
a = 6; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·6·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1}=1$$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*6}=\frac{-2}{12} =-1/6 $$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*6}=\frac{0}{12} =0 $
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