(2/3)x+5=4x-6

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Solution for (2/3)x+5=4x-6 equation:



(2/3)x+5=4x-6
We move all terms to the left:
(2/3)x+5-(4x-6)=0
Domain of the equation: 3)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+2/3)x-(4x-6)+5=0
We multiply parentheses
2x^2-(4x-6)+5=0
We get rid of parentheses
2x^2-4x+6+5=0
We add all the numbers together, and all the variables
2x^2-4x+11=0
a = 2; b = -4; c = +11;
Δ = b2-4ac
Δ = -42-4·2·11
Δ = -72
Delta is less than zero, so there is no solution for the equation

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