12x/100+(x-15000)x1/100=7650

Solution for 12x/100+(x-15000)x1/100=7650 equation:

12x/100+(x-15000)x1/100=7650

We move all terms to the left:

12x/100+(x-15000)x1/100-(7650)=0

We multiply all the terms by the denominator


12x+(x-15000)x1-7650*100=0

We add all the numbers together, and all the variables

12x+(x-15000)x1-765000=0

We multiply parentheses

x^2+12x-15000x-765000=0

We add all the numbers together, and all the variables

x^2-14988x-765000=0

a = 1; b = -14988; c = -765000;
Δ = b2-4ac
Δ = -149882-4·1·(-765000)
Δ = 227700144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{227700144}=\sqrt{144*1581251}=\sqrt{144}*\sqrt{1581251}=12\sqrt{1581251}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14988)-12\sqrt{1581251}}{2*1}=\frac{14988-12\sqrt{1581251}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14988)+12\sqrt{1581251}}{2*1}=\frac{14988+12\sqrt{1581251}}{2}
$