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d(d+4)=4d+4d
We move all terms to the left:
d(d+4)-(4d+4d)=0
We add all the numbers together, and all the variables
d(d+4)-(+8d)=0
We multiply parentheses
d^2+4d-(+8d)=0
We get rid of parentheses
d^2+4d-8d=0
We add all the numbers together, and all the variables
d^2-4d=0
a = 1; b = -4; c = 0;
Δ = b2-4ac
Δ = -42-4·1·0
Δ = 16
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{16}=4$$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-4}{2*1}=\frac{0}{2} =0 $$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+4}{2*1}=\frac{8}{2} =4 $
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