9/3x+12/3=3x+4

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Solution for 9/3x+12/3=3x+4 equation:



9/3x+12/3=3x+4
We move all terms to the left:
9/3x+12/3-(3x+4)=0
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
We add all the numbers together, and all the variables
9/3x-(3x+4)+4=0
We get rid of parentheses
9/3x-3x-4+4=0
We multiply all the terms by the denominator
-3x*3x-4*3x+4*3x+9=0
Wy multiply elements
-9x^2-12x+12x+9=0
We add all the numbers together, and all the variables
-9x^2+9=0
a = -9; b = 0; c = +9;
Δ = b2-4ac
Δ = 02-4·(-9)·9
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-18}{2*-9}=\frac{-18}{-18} =1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+18}{2*-9}=\frac{18}{-18} =-1 $

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