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5y(-14+7y)+20y=0
We add all the numbers together, and all the variables
5y(7y-14)+20y=0
We add all the numbers together, and all the variables
20y+5y(7y-14)=0
We multiply parentheses
35y^2+20y-70y=0
We add all the numbers together, and all the variables
35y^2-50y=0
a = 35; b = -50; c = 0;
Δ = b2-4ac
Δ = -502-4·35·0
Δ = 2500
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{2500}=50$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-50}{2*35}=\frac{0}{70} =0 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+50}{2*35}=\frac{100}{70} =1+3/7 $
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