6x^2-136x=-600

Solution for 6x^2-136x=-600 equation:

6x^2-136x=-600

We move all terms to the left:

6x^2-136x-(-600)=0

We add all the numbers together, and all the variables

6x^2-136x+600=0

a = 6; b = -136; c = +600;
Δ = b2-4ac
Δ = -1362-4·6·600
Δ = 4096
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4096}=64$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-136)-64}{2*6}=\frac{72}{12}
=6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-136)+64}{2*6}=\frac{200}{12}
=16+2/3
$