-5/6x-4.9x=-154

Solution for -5/6x-4.9x=-154 equation:

-5/6x-4.9x=-154

We move all terms to the left:

-5/6x-4.9x-(-154)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We add all the numbers together, and all the variables

-4.9x-5/6x+154=0

We multiply all the terms by the denominator


-(4.9x)*6x+154*6x-5=0

We add all the numbers together, and all the variables

-(+4.9x)*6x+154*6x-5=0

We multiply parentheses

-24x^2+154*6x-5=0

Wy multiply elements

-24x^2+924x-5=0

a = -24; b = 924; c = -5;
Δ = b2-4ac
Δ = 9242-4·(-24)·(-5)
Δ = 853296
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:

$\sqrt{\Delta}=\sqrt{853296}=\sqrt{16*53331}=\sqrt{16}*\sqrt{53331}=4\sqrt{53331}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(924)-4\sqrt{53331}}{2*-24}=\frac{-924-4\sqrt{53331}}{-48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(924)+4\sqrt{53331}}{2*-24}=\frac{-924+4\sqrt{53331}}{-48}
$