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(X+6)(X+6)=-3X
We move all terms to the left:
(X+6)(X+6)-(-3X)=0
We get rid of parentheses
(X+6)(X+6)+3X=0
We multiply parentheses ..
(+X^2+6X+6X+36)+3X=0
We get rid of parentheses
X^2+6X+6X+3X+36=0
We add all the numbers together, and all the variables
X^2+15X+36=0
a = 1; b = 15; c = +36;
Δ = b2-4ac
Δ = 152-4·1·36
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{81}=9$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-9}{2*1}=\frac{-24}{2} =-12 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+9}{2*1}=\frac{-6}{2} =-3 $
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