10-6=x^2-24x+144

Solution for 10-6=x^2-24x+144 equation:

10-6=x^2-24x+144

We move all terms to the left:

10-6-(x^2-24x+144)=0

We add all the numbers together, and all the variables

-(x^2-24x+144)+4=0

We get rid of parentheses

-x^2+24x-144+4=0

We add all the numbers together, and all the variables

-1x^2+24x-140=0

a = -1; b = 24; c = -140;
Δ = b2-4ac
Δ = 242-4·(-1)·(-140)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-4}{2*-1}=\frac{-28}{-2}
=+14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+4}{2*-1}=\frac{-20}{-2}
=+10
$