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(1.5+x)x/3=2x-5.5
We move all terms to the left:
(1.5+x)x/3-(2x-5.5)=0
We add all the numbers together, and all the variables
(x+1.5)x/3-(2x-5.5)=0
We get rid of parentheses
(x+1.5)x/3-2x+5.5=0
We multiply all the terms by the denominator
(x+1.5)x-2x*3+(5.5)*3=0
We add all the numbers together, and all the variables
(x+1.5)x-2x*3+16.5=0
We multiply parentheses
x^2+1.5x-2x*3+16.5=0
Wy multiply elements
x^2+1.5x-6x+16.5=0
We add all the numbers together, and all the variables
x^2-4.5x+16.5=0
a = 1; b = -4.5; c = +16.5;
Δ = b2-4ac
Δ = -4.52-4·1·16.5
Δ = -45.75
Delta is less than zero, so there is no solution for the equation
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