X+(8/3x-60)=2635

Solution for X+(8/3x-60)=2635 equation:

X+(8/3X-60)=2635

We move all terms to the left:

X+(8/3X-60)-(2635)=0


Domain of the equation: 3X-60)!=0

X∈R


We get rid of parentheses

X+8/3X-60-2635=0

We multiply all the terms by the denominator


X*3X-60*3X-2635*3X+8=0

Wy multiply elements

3X^2-180X-7905X+8=0

We add all the numbers together, and all the variables

3X^2-8085X+8=0

a = 3; b = -8085; c = +8;
Δ = b2-4ac
Δ = -80852-4·3·8
Δ = 65367129
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{-(-8085)-\sqrt{65367129}}{2*3}=\frac{8085-\sqrt{65367129}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8085)+\sqrt{65367129}}{2*3}=\frac{8085+\sqrt{65367129}}{6}
$