X=500-(9y/14)

Solution for X=500-(9y/14) equation:

X=500-(9X/14)

We move all terms to the left:

X-(500-(9X/14))=0

We add all the numbers together, and all the variables

X-(500-(+9X/14))=0

We multiply all the terms by the denominator


X*14))-(500-(+9X=0

We add all the numbers together, and all the variables

9X+X*14))-(500-(=0

Wy multiply elements

14X^2+9X=0

a = 14; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·14·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*14}=\frac{-18}{28}
=-9/14
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*14}=\frac{0}{28}
=0
$