X=30,000+(0.04y/0.10)

Solution for X=30,000+(0.04y/0.10) equation:

X=30.000+(0.04X/0.10)

We move all terms to the left:

X-(30.000+(0.04X/0.10))=0

We add all the numbers together, and all the variables

X-(30.000+(+0.04X/0.10))=0

We multiply all the terms by the denominator


X*0.10))-(30.000+(+0.04X=0

We add all the numbers together, and all the variables

0.04X+X*0.10))-(30.000+(=0

Wy multiply elements

0X^2+0.04X=0

We add all the numbers together, and all the variables

X^2+0.04X=0

a = 1; b = 0.04; c = 0;
Δ = b2-4ac
Δ = 0.042-4·1·0
Δ = 0.0016
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{-(0.04)-\sqrt{0.0016}}{2*1}=\frac{-0.04-\sqrt{0.0016}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.04)+\sqrt{0.0016}}{2*1}=\frac{-0.04+\sqrt{0.0016}}{2}
$