/3x+2x+6=-15

Solution for /3x+2x+6=-15 equation:

/3x+2x+6=-15

We move all terms to the left:

/3x+2x+6-(-15)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

2x+/3x+21=0

We multiply all the terms by the denominator


2x*3x+21*3x+=0

We add all the numbers together, and all the variables

2x*3x+21*3x=0

Wy multiply elements

6x^2+63x=0

a = 6; b = 63; c = 0;
Δ = b2-4ac
Δ = 632-4·6·0
Δ = 3969
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3969}=63$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(63)-63}{2*6}=\frac{-126}{12}
=-10+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+63}{2*6}=\frac{0}{12}
=0
$