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15y*1.5y=y
We move all terms to the left:
15y*1.5y-(y)=0
We add all the numbers together, and all the variables
-1y+15y*1.5y=0
Wy multiply elements
15y^2-1y=0
a = 15; b = -1; c = 0;
Δ = b2-4ac
Δ = -12-4·15·0
Δ = 1
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{1}=1$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*15}=\frac{0}{30} =0 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*15}=\frac{2}{30} =1/15 $
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