150/x=6x

Solution for 150/x=6x equation:

150/x=6x

We move all terms to the left:

150/x-(6x)=0


Domain of the equation: x!=0

x∈R


We add all the numbers together, and all the variables

-6x+150/x=0

We multiply all the terms by the denominator


-6x*x+150=0

Wy multiply elements

-6x^2+150=0

a = -6; b = 0; c = +150;
Δ = b2-4ac
Δ = 02-4·(-6)·150
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*-6}=\frac{-60}{-12}
=+5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*-6}=\frac{60}{-12}
=-5
$