3x^2+90x-12,000=0

Solution for 3x^2+90x-12,000=0 equation:

3x^2+90x-12.000=0

We add all the numbers together, and all the variables

3x^2+90x-12=0

a = 3; b = 90; c = -12;
Δ = b2-4ac
Δ = 902-4·3·(-12)
Δ = 8244
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:

$\sqrt{\Delta}=\sqrt{8244}=\sqrt{36*229}=\sqrt{36}*\sqrt{229}=6\sqrt{229}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(90)-6\sqrt{229}}{2*3}=\frac{-90-6\sqrt{229}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+6\sqrt{229}}{2*3}=\frac{-90+6\sqrt{229}}{6}
$