-5/6x=-60x

Solution for -5/6x=-60x equation:

-5/6x=-60x

We move all terms to the left:

-5/6x-(-60x)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We get rid of parentheses

-5/6x+60x=0

We multiply all the terms by the denominator


60x*6x-5=0

Wy multiply elements

360x^2-5=0

a = 360; b = 0; c = -5;
Δ = b2-4ac
Δ = 02-4·360·(-5)
Δ = 7200
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:

$\sqrt{\Delta}=\sqrt{7200}=\sqrt{3600*2}=\sqrt{3600}*\sqrt{2}=60\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{2}}{2*360}=\frac{0-60\sqrt{2}}{720}
=-\frac{60\sqrt{2}}{720}
=-\frac{\sqrt{2}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{2}}{2*360}=\frac{0+60\sqrt{2}}{720}
=\frac{60\sqrt{2}}{720}
=\frac{\sqrt{2}}{12}
$