17(6x-5)=204(7/24x)=

Solution for 17(6x-5)=204(7/24x)= equation:

17(6x-5)=204(7/24x)=

We move all terms to the left:

17(6x-5)-(204(7/24x))=0


Domain of the equation: 24x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

17(6x-5)-(204(+7/24x))=0

We multiply parentheses

102x-(204(+7/24x))-85=0

We multiply all the terms by the denominator


102x*24x))-(204(-85*24x))+7=0

Wy multiply elements

2448x^2-2040x=0

a = 2448; b = -2040; c = 0;
Δ = b2-4ac
Δ = -20402-4·2448·0
Δ = 4161600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4161600}=2040$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2040)-2040}{2*2448}=\frac{0}{4896}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2040)+2040}{2*2448}=\frac{4080}{4896}
=5/6
$