0=3x^2-7x-286

Solution for 0=3x^2-7x-286 equation:

0=3x^2-7x-286

We move all terms to the left:

0-(3x^2-7x-286)=0

We add all the numbers together, and all the variables

-(3x^2-7x-286)=0

We get rid of parentheses

-3x^2+7x+286=0

a = -3; b = 7; c = +286;
Δ = b2-4ac
Δ = 72-4·(-3)·286
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-59}{2*-3}=\frac{-66}{-6}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+59}{2*-3}=\frac{52}{-6}
=-8+2/3
$