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3x^2+5x=-12
We move all terms to the left:
3x^2+5x-(-12)=0
We add all the numbers together, and all the variables
3x^2+5x+12=0
a = 3; b = 5; c = +12;
Δ = b2-4ac
Δ = 52-4·3·12
Δ = -119
Delta is less than zero, so there is no solution for the equation
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