-03.5x^2-210x+3000=0

Solution for -03.5x^2-210x+3000=0 equation:

-03.5x^2-210x+3000=0

We add all the numbers together, and all the variables

-3.5x^2-210x+3000=0

a = -3.5; b = -210; c = +3000;
Δ = b2-4ac
Δ = -2102-4·(-3.5)·3000
Δ = 86100
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:

$\sqrt{\Delta}=\sqrt{86100}=\sqrt{100*861}=\sqrt{100}*\sqrt{861}=10\sqrt{861}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-10\sqrt{861}}{2*-3.5}=\frac{210-10\sqrt{861}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+10\sqrt{861}}{2*-3.5}=\frac{210+10\sqrt{861}}{-7}
$