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-15-36d=-27d^2
We move all terms to the left:
-15-36d-(-27d^2)=0
We get rid of parentheses
27d^2-36d-15=0
a = 27; b = -36; c = -15;
Δ = b2-4ac
Δ = -362-4·27·(-15)
Δ = 2916
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{2916}=54$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-54}{2*27}=\frac{-18}{54} =-1/3 $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+54}{2*27}=\frac{90}{54} =1+2/3 $
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