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5(d+7)d=-2
We move all terms to the left:
5(d+7)d-(-2)=0
We add all the numbers together, and all the variables
5(d+7)d+2=0
We multiply parentheses
5d^2+35d+2=0
a = 5; b = 35; c = +2;
Δ = b2-4ac
Δ = 352-4·5·2
Δ = 1185
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}$$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-\sqrt{1185}}{2*5}=\frac{-35-\sqrt{1185}}{10} $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{1185}}{2*5}=\frac{-35+\sqrt{1185}}{10} $
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