68.8-0.6x=x2

Solution for 68.8-0.6x=x2 equation:

68.8-0.6x=x2

We move all terms to the left:

68.8-0.6x-(x2)=0

We add all the numbers together, and all the variables

-1x^2-0.6x+68.8=0

a = -1; b = -0.6; c = +68.8;
Δ = b2-4ac
Δ = -0.62-4·(-1)·68.8
Δ = 275.56
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{-(-0.6)-\sqrt{275.56}}{2*-1}=\frac{0.6-\sqrt{275.56}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.6)+\sqrt{275.56}}{2*-1}=\frac{0.6+\sqrt{275.56}}{-2}
$