4-1.5x=1/6x+4

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Solution for 4-1.5x=1/6x+4 equation:



4-1.5x=1/6x+4
We move all terms to the left:
4-1.5x-(1/6x+4)=0
Domain of the equation: 6x+4)!=0
x∈R
We get rid of parentheses
-1.5x-1/6x-4+4=0
We multiply all the terms by the denominator
-(1.5x)*6x-4*6x+4*6x-1=0
We add all the numbers together, and all the variables
-(+1.5x)*6x-4*6x+4*6x-1=0
We multiply parentheses
-6x^2-4*6x+4*6x-1=0
Wy multiply elements
-6x^2-24x+24x-1=0
We add all the numbers together, and all the variables
-6x^2-1=0
a = -6; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·(-6)·(-1)
Δ = -24
Delta is less than zero, so there is no solution for the equation

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