4/5x+2+12/15x+6=0

Solution for 4/5x+2+12/15x+6=0 equation:

4/5x+2+12/15x+6=0


Domain of the equation: 5x!=0

x!=0/5

x!=0

x∈R



Domain of the equation: 15x!=0

x!=0/15

x!=0

x∈R


We add all the numbers together, and all the variables

4/5x+12/15x+8=0

We calculate fractions


60x/75x^2+60x/75x^2+8=0

We multiply all the terms by the denominator


60x+60x+8*75x^2=0

We add all the numbers together, and all the variables

120x+8*75x^2=0

Wy multiply elements

600x^2+120x=0

a = 600; b = 120; c = 0;
Δ = b2-4ac
Δ = 1202-4·600·0
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(120)-120}{2*600}=\frac{-240}{1200}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(120)+120}{2*600}=\frac{0}{1200}
=0
$