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72=(x+4)(3x+6)/2
We move all terms to the left:
72-((x+4)(3x+6)/2)=0
We multiply parentheses ..
-((+3x^2+6x+12x+24)/2)+72=0
We multiply all the terms by the denominator
-((+3x^2+6x+12x+24)+72*2)=0
We calculate terms in parentheses: -((+3x^2+6x+12x+24)+72*2), so:We get rid of parentheses
(+3x^2+6x+12x+24)+72*2
We add all the numbers together, and all the variables
(+3x^2+6x+12x+24)+144
We get rid of parentheses
3x^2+6x+12x+24+144
We add all the numbers together, and all the variables
3x^2+18x+168
Back to the equation:
-(3x^2+18x+168)
-3x^2-18x-168=0
a = -3; b = -18; c = -168;
Δ = b2-4ac
Δ = -182-4·(-3)·(-168)
Δ = -1692
Delta is less than zero, so there is no solution for the equation
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