240=(2x+1)(6x-3)/2

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Solution for 240=(2x+1)(6x-3)/2 equation:



240=(2x+1)(6x-3)/2
We move all terms to the left:
240-((2x+1)(6x-3)/2)=0
We multiply parentheses ..
-((+12x^2-6x+6x-3)/2)+240=0
We multiply all the terms by the denominator
-((+12x^2-6x+6x-3)+240*2)=0
We calculate terms in parentheses: -((+12x^2-6x+6x-3)+240*2), so:
(+12x^2-6x+6x-3)+240*2
We add all the numbers together, and all the variables
(+12x^2-6x+6x-3)+480
We get rid of parentheses
12x^2-6x+6x-3+480
We add all the numbers together, and all the variables
12x^2+477
Back to the equation:
-(12x^2+477)
We get rid of parentheses
-12x^2-477=0
a = -12; b = 0; c = -477;
Δ = b2-4ac
Δ = 02-4·(-12)·(-477)
Δ = -22896
Delta is less than zero, so there is no solution for the equation

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