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15y=3y*5y
We move all terms to the left:
15y-(3y*5y)=0
We add all the numbers together, and all the variables
15y-(+3y*5y)=0
We get rid of parentheses
15y-3y*5y=0
Wy multiply elements
-15y^2+15y=0
a = -15; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-15)·0
Δ = 225
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{225}=15$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-15}=\frac{-30}{-30} =1 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-15}=\frac{0}{-30} =0 $
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