X+(2/3)x=45

Solution for X+(2/3)x=45 equation:

X+(2/3)X=45

We move all terms to the left:

X+(2/3)X-(45)=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

X+(+2/3)X-45=0

We multiply parentheses

2X^2+X-45=0

a = 2; b = 1; c = -45;
Δ = b2-4ac
Δ = 12-4·2·(-45)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-19}{2*2}=\frac{-20}{4}
=-5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+19}{2*2}=\frac{18}{4}
=4+1/2
$