144=2x^2+x

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

144=2x^2+x

We move all terms to the left:

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

We get rid of parentheses

-2x^2-x+144=0

We add all the numbers together, and all the variables

-2x^2-1x+144=0

a = -2; b = -1; c = +144;
Δ = b2-4ac
Δ = -12-4·(-2)·144
Δ = 1153
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{1153}}{2*-2}=\frac{1-\sqrt{1153}}{-4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{1153}}{2*-2}=\frac{1+\sqrt{1153}}{-4}
$