144=2x^2+10x+12

Solution for 144=2x^2+10x+12 equation:

144=2x^2+10x+12

We move all terms to the left:

144-(2x^2+10x+12)=0

We get rid of parentheses

-2x^2-10x-12+144=0

We add all the numbers together, and all the variables

-2x^2-10x+132=0

a = -2; b = -10; c = +132;
Δ = b2-4ac
Δ = -102-4·(-2)·132
Δ = 1156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1156}=34$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-34}{2*-2}=\frac{-24}{-4}
=+6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+34}{2*-2}=\frac{44}{-4}
=-11
$