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0=y(12y-12)
We move all terms to the left:
0-(y(12y-12))=0
We add all the numbers together, and all the variables
-(y(12y-12))=0
We calculate terms in parentheses: -(y(12y-12)), so:We get rid of parentheses
y(12y-12)
We multiply parentheses
12y^2-12y
Back to the equation:
-(12y^2-12y)
-12y^2+12y=0
a = -12; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-12)·0
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{144}=12$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-12}=\frac{-24}{-24} =1 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-12}=\frac{0}{-24} =0 $
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