16x+30=3(8/3x+2)

Solution for 16x+30=3(8/3x+2) equation:

16x+30=3(8/3x+2)

We move all terms to the left:

16x+30-(3(8/3x+2))=0


Domain of the equation: 3x+2))!=0

x∈R


We multiply all the terms by the denominator


16x*3x+30*3x+2))-(3(8+2))=0

We add all the numbers together, and all the variables

16x*3x+30*3x+2))-(310)=0

We add all the numbers together, and all the variables

16x*3x+30*3x=0

Wy multiply elements

48x^2+90x=0

a = 48; b = 90; c = 0;
Δ = b2-4ac
Δ = 902-4·48·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(90)-90}{2*48}=\frac{-180}{96}
=-1+7/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+90}{2*48}=\frac{0}{96}
=0
$