X+15=-2/3x

Solution for X+15=-2/3x equation:

X+15=-2/3X

We move all terms to the left:

X+15-(-2/3X)=0


Domain of the equation: 3X)!=0

X!=0/1

X!=0

X∈R


We get rid of parentheses

X+2/3X+15=0

We multiply all the terms by the denominator


X*3X+15*3X+2=0

Wy multiply elements

3X^2+45X+2=0

a = 3; b = 45; c = +2;
Δ = b2-4ac
Δ = 452-4·3·2
Δ = 2001
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{-(45)-\sqrt{2001}}{2*3}=\frac{-45-\sqrt{2001}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{2001}}{2*3}=\frac{-45+\sqrt{2001}}{6}
$