15x(1/5)=16

Solution for 15x(1/5)=16 equation:

15x(1/5)=16

We move all terms to the left:

15x(1/5)-(16)=0

We add all the numbers together, and all the variables

15x(+1/5)-16=0

We multiply parentheses

15x^2-16=0

a = 15; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·15·(-16)
Δ = 960
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{960}=\sqrt{64*15}=\sqrt{64}*\sqrt{15}=8\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{15}}{2*15}=\frac{0-8\sqrt{15}}{30}
=-\frac{8\sqrt{15}}{30}
=-\frac{4\sqrt{15}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{15}}{2*15}=\frac{0+8\sqrt{15}}{30}
=\frac{8\sqrt{15}}{30}
=\frac{4\sqrt{15}}{15}
$