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X2=-18-9X
We move all terms to the left:
X2-(-18-9X)=0
We add all the numbers together, and all the variables
X2-(-9X-18)=0
We add all the numbers together, and all the variables
X^2-(-9X-18)=0
We get rid of parentheses
X^2+9X+18=0
a = 1; b = 9; c = +18;
Δ = b2-4ac
Δ = 92-4·1·18
Δ = 9
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{9}=3$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-3}{2*1}=\frac{-12}{2} =-6 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+3}{2*1}=\frac{-6}{2} =-3 $
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