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(X+6)*X=352
We move all terms to the left:
(X+6)*X-(352)=0
We multiply parentheses
X^2+6X-352=0
a = 1; b = 6; c = -352;
Δ = b2-4ac
Δ = 62-4·1·(-352)
Δ = 1444
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{1444}=38$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-38}{2*1}=\frac{-44}{2} =-22 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+38}{2*1}=\frac{32}{2} =16 $
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