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(1-y)(5y+8)=0
We add all the numbers together, and all the variables
(-1y+1)(5y+8)=0
We multiply parentheses ..
(-5y^2-8y+5y+8)=0
We get rid of parentheses
-5y^2-8y+5y+8=0
We add all the numbers together, and all the variables
-5y^2-3y+8=0
a = -5; b = -3; c = +8;
Δ = b2-4ac
Δ = -32-4·(-5)·8
Δ = 169
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{169}=13$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-13}{2*-5}=\frac{-10}{-10} =1 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+13}{2*-5}=\frac{16}{-10} =-1+3/5 $
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