X-2/3x+2.8=-8.2

Solution for X-2/3x+2.8=-8.2 equation:

X-2/3X+2.8=-8.2

We move all terms to the left:

X-2/3X+2.8-(-8.2)=0


Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R


We add all the numbers together, and all the variables

X-2/3X+11=0

We multiply all the terms by the denominator


X*3X+11*3X-2=0

Wy multiply elements

3X^2+33X-2=0

a = 3; b = 33; c = -2;
Δ = b2-4ac
Δ = 332-4·3·(-2)
Δ = 1113
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-\sqrt{1113}}{2*3}=\frac{-33-\sqrt{1113}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{1113}}{2*3}=\frac{-33+\sqrt{1113}}{6}
$