3/4x+6.75=6-1.5x

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Solution for 3/4x+6.75=6-1.5x equation: 



3/4x+6.75=6-1.5x

We move all terms to the left:

3/4x+6.75-(6-1.5x)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R



We add all the numbers together, and all the variables

3/4x-(-1.5x+6)+6.75=0

We get rid of parentheses

3/4x+1.5x-6+6.75=0

We multiply all the terms by the denominator


(1.5x)*4x-6*4x+(6.75)*4x+3=0

We add all the numbers together, and all the variables

(+1.5x)*4x-6*4x+(6.75)*4x+3=0

We multiply parentheses

4x^2-6*4x+27x+3=0

Wy multiply elements

4x^2-24x+27x+3=0

We add all the numbers together, and all the variables

4x^2+3x+3=0

a = 4; b = 3; c = +3;
Δ = b2-4ac
Δ = 32-4·4·3
Δ = -39
Delta is less than zero, so there is no solution for the equation

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