-2/5x+12x=5

Solution for -2/5x+12x=5 equation:

-2/5x+12x=5

We move all terms to the left:

-2/5x+12x-(5)=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R


We add all the numbers together, and all the variables

12x-2/5x-5=0

We multiply all the terms by the denominator


12x*5x-5*5x-2=0

Wy multiply elements

60x^2-25x-2=0

a = 60; b = -25; c = -2;
Δ = b2-4ac
Δ = -252-4·60·(-2)
Δ = 1105
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{-(-25)-\sqrt{1105}}{2*60}=\frac{25-\sqrt{1105}}{120}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{1105}}{2*60}=\frac{25+\sqrt{1105}}{120}
$