1.5x+.5-3x=11/2x-4

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Solution for 1.5x+.5-3x=11/2x-4 equation:



1.5x+.5-3x=11/2x-4
We move all terms to the left:
1.5x+.5-3x-(11/2x-4)=0
Domain of the equation: 2x-4)!=0
x∈R
We add all the numbers together, and all the variables
-1.5x-(11/2x-4)+0.5=0
We get rid of parentheses
-1.5x-11/2x+4+0.5=0
We multiply all the terms by the denominator
-(1.5x)*2x+4*2x+(0.5)*2x-11=0
We add all the numbers together, and all the variables
-(+1.5x)*2x+4*2x+(0.5)*2x-11=0
We multiply parentheses
-2x^2+4*2x+x-11=0
Wy multiply elements
-2x^2+8x+x-11=0
We add all the numbers together, and all the variables
-2x^2+9x-11=0
a = -2; b = 9; c = -11;
Δ = b2-4ac
Δ = 92-4·(-2)·(-11)
Δ = -7
Delta is less than zero, so there is no solution for the equation

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