44x^2+10x=15000

Solution for 44x^2+10x=15000 equation:

44x^2+10x=15000

We move all terms to the left:

44x^2+10x-(15000)=0

a = 44; b = 10; c = -15000;
Δ = b2-4ac
Δ = 102-4·44·(-15000)
Δ = 2640100
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:

$\sqrt{\Delta}=\sqrt{2640100}=\sqrt{100*26401}=\sqrt{100}*\sqrt{26401}=10\sqrt{26401}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10\sqrt{26401}}{2*44}=\frac{-10-10\sqrt{26401}}{88}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10\sqrt{26401}}{2*44}=\frac{-10+10\sqrt{26401}}{88}
$