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X^2+5X=-24
We move all terms to the left:
X^2+5X-(-24)=0
We add all the numbers together, and all the variables
X^2+5X+24=0
a = 1; b = 5; c = +24;
Δ = b2-4ac
Δ = 52-4·1·24
Δ = -71
Delta is less than zero, so there is no solution for the equation
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