how do you change the equation 0.2=x^2/55-x into a quadratic equation.

I have 1/5(55-x)-x^2=0

I believe the first equation has a typo due to missing parentheses because as is, it is already a quadratic equation.

I think you mean
0.2=x^2/(55-x)
Remember to insert parentheses in all numerators and denominators.

To convert the equation to a quadratic, multiply both sides by the denominator and simplify, which is
0.2(55-x)=x²
Simplify.