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0=2d^2+20d+32
We move all terms to the left:
0-(2d^2+20d+32)=0
We add all the numbers together, and all the variables
-(2d^2+20d+32)=0
We get rid of parentheses
-2d^2-20d-32=0
a = -2; b = -20; c = -32;
Δ = b2-4ac
Δ = -202-4·(-2)·(-32)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{144}=12$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-12}{2*-2}=\frac{8}{-4} =-2 $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+12}{2*-2}=\frac{32}{-4} =-8 $
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