0=2x^2+11x-156

Solution for 0=2x^2+11x-156 equation:

0=2x^2+11x-156

We move all terms to the left:

0-(2x^2+11x-156)=0

We add all the numbers together, and all the variables

-(2x^2+11x-156)=0

We get rid of parentheses

-2x^2-11x+156=0

a = -2; b = -11; c = +156;
Δ = b2-4ac
Δ = -112-4·(-2)·156
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-37}{2*-2}=\frac{-26}{-4}
=6+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+37}{2*-2}=\frac{48}{-4}
=-12
$