14x-9=-(5/8x-17)

Solution for 14x-9=-(5/8x-17) equation:

14x-9=-(5/8x-17)

We move all terms to the left:

14x-9-(-(5/8x-17))=0


Domain of the equation: 8x-17))!=0

x∈R


We multiply all the terms by the denominator


14x*8x-9*8x-17))-(-(5-17))=0

We add all the numbers together, and all the variables

14x*8x-9*8x-17))-(-(-12))=0

We add all the numbers together, and all the variables

14x*8x-9*8x=0

Wy multiply elements

112x^2-72x=0

a = 112; b = -72; c = 0;
Δ = b2-4ac
Δ = -722-4·112·0
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-72)-72}{2*112}=\frac{0}{224}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-72)+72}{2*112}=\frac{144}{224}
=9/14
$