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6X(1/2X+3)+4(12-X)=5/6
We move all terms to the left:
6X(1/2X+3)+4(12-X)-(5/6)=0
Domain of the equation: 2X+3)!=0We add all the numbers together, and all the variables
X∈R
6X(1/2X+3)+4(-1X+12)-(+5/6)=0
We multiply parentheses
6X^2+18X-4X+48-(+5/6)=0
We get rid of parentheses
6X^2+18X-4X+48-5/6=0
We multiply all the terms by the denominator
6X^2*6+18X*6-4X*6-5+48*6=0
We add all the numbers together, and all the variables
6X^2*6+18X*6-4X*6+283=0
Wy multiply elements
36X^2+108X-24X+283=0
We add all the numbers together, and all the variables
36X^2+84X+283=0
a = 36; b = 84; c = +283;
Δ = b2-4ac
Δ = 842-4·36·283
Δ = -33696
Delta is less than zero, so there is no solution for the equation
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