(2/3)*25x+(1/3)*12x-15x=1700

Solution for (2/3)*25x+(1/3)*12x-15x=1700 equation:

(2/3)*25x+(1/3)*12x-15x=1700

We move all terms to the left:

(2/3)*25x+(1/3)*12x-15x-(1700)=0


Domain of the equation: 3)*25x!=0

x!=0/1

x!=0

x∈R



Domain of the equation: 3)*12x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+2/3)*25x+(+1/3)*12x-15x-1700=0

We add all the numbers together, and all the variables

-15x+(+2/3)*25x+(+1/3)*12x-1700=0

We multiply parentheses

50x^2+12x^2-15x-1700=0

We add all the numbers together, and all the variables

62x^2-15x-1700=0

a = 62; b = -15; c = -1700;
Δ = b2-4ac
Δ = -152-4·62·(-1700)
Δ = 421825
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:

$\sqrt{\Delta}=\sqrt{421825}=\sqrt{25*16873}=\sqrt{25}*\sqrt{16873}=5\sqrt{16873}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-5\sqrt{16873}}{2*62}=\frac{15-5\sqrt{16873}}{124}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+5\sqrt{16873}}{2*62}=\frac{15+5\sqrt{16873}}{124}
$