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2(y+7)(-y+8)=0
We add all the numbers together, and all the variables
2(y+7)(-1y+8)=0
We multiply parentheses ..
2(-1y^2+8y-7y+56)=0
We multiply parentheses
-2y^2+16y-14y+112=0
We add all the numbers together, and all the variables
-2y^2+2y+112=0
a = -2; b = 2; c = +112;
Δ = b2-4ac
Δ = 22-4·(-2)·112
Δ = 900
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{900}=30$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-30}{2*-2}=\frac{-32}{-4} =+8 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+30}{2*-2}=\frac{28}{-4} =-7 $
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