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(5y-7)(2y-0.4)=0
We multiply parentheses ..
(+10y^2-2y-14y+2.8)=0
We get rid of parentheses
10y^2-2y-14y+2.8=0
We add all the numbers together, and all the variables
10y^2-16y+2.8=0
a = 10; b = -16; c = +2.8;
Δ = b2-4ac
Δ = -162-4·10·2.8
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$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-12}{2*10}=\frac{4}{20} =1/5 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+12}{2*10}=\frac{28}{20} =1+2/5 $
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