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(X+14)(X+7)=12
We move all terms to the left:
(X+14)(X+7)-(12)=0
We multiply parentheses ..
(+X^2+7X+14X+98)-12=0
We get rid of parentheses
X^2+7X+14X+98-12=0
We add all the numbers together, and all the variables
X^2+21X+86=0
a = 1; b = 21; c = +86;
Δ = b2-4ac
Δ = 212-4·1·86
Δ = 97
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-\sqrt{97}}{2*1}=\frac{-21-\sqrt{97}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{97}}{2*1}=\frac{-21+\sqrt{97}}{2} $
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