17x=7x(2)

Solution for 17x=7x(2) equation:

17x=7x(2)

We move all terms to the left:

17x-(7x(2))=0

determiningTheFunctionDomain
17x-7x2=0

We add all the numbers together, and all the variables

-7x^2+17x=0

a = -7; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·(-7)·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*-7}=\frac{-34}{-14}
=2+3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*-7}=\frac{0}{-14}
=0
$