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(2-y)(2y+7)=0
We add all the numbers together, and all the variables
(-1y+2)(2y+7)=0
We multiply parentheses ..
(-2y^2-7y+4y+14)=0
We get rid of parentheses
-2y^2-7y+4y+14=0
We add all the numbers together, and all the variables
-2y^2-3y+14=0
a = -2; b = -3; c = +14;
Δ = b2-4ac
Δ = -32-4·(-2)·14
Δ = 121
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{121}=11$$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-11}{2*-2}=\frac{-8}{-4} =+2 $$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+11}{2*-2}=\frac{14}{-4} =-3+1/2 $
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