2x+16/15x=51

Solution for 2x+16/15x=51 equation:

2x+16/15x=51

We move all terms to the left:

2x+16/15x-(51)=0


Domain of the equation: 15x!=0

x!=0/15

x!=0

x∈R


We multiply all the terms by the denominator


2x*15x-51*15x+16=0

Wy multiply elements

30x^2-765x+16=0

a = 30; b = -765; c = +16;
Δ = b2-4ac
Δ = -7652-4·30·16
Δ = 583305
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{-(-765)-\sqrt{583305}}{2*30}=\frac{765-\sqrt{583305}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-765)+\sqrt{583305}}{2*30}=\frac{765+\sqrt{583305}}{60}
$