144=(x2)+x

Solution for 144=(x2)+x equation:

144=(x2)+x

We move all terms to the left:

144-((x2)+x)=0

We add all the numbers together, and all the variables

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

We get rid of parentheses

-x^2-x+144=0

We add all the numbers together, and all the variables

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

a = -1; b = -1; c = +144;
Δ = b2-4ac
Δ = -12-4·(-1)·144
Δ = 577
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{577}}{2*-1}=\frac{1-\sqrt{577}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{577}}{2*-1}=\frac{1+\sqrt{577}}{-2}
$