1/2x+6=7-12x

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Solution for 1/2x+6=7-12x equation:



1/2x+6=7-12x
We move all terms to the left:
1/2x+6-(7-12x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
We add all the numbers together, and all the variables
1/2x-(-12x+7)+6=0
We get rid of parentheses
1/2x+12x-7+6=0
We multiply all the terms by the denominator
12x*2x-7*2x+6*2x+1=0
Wy multiply elements
24x^2-14x+12x+1=0
We add all the numbers together, and all the variables
24x^2-2x+1=0
a = 24; b = -2; c = +1;
Δ = b2-4ac
Δ = -22-4·24·1
Δ = -92
Delta is less than zero, so there is no solution for the equation

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