x(x-24)=30+x(x+3)

Solution for x(x-24)=30+x(x+3) equation:

x(x-24)=30+x(x+3)

We move all terms to the left:

x(x-24)-(30+x(x+3))=0

We multiply parentheses

x^2-24x-(30+x(x+3))=0


We calculate terms in parentheses: -(30+x(x+3)), so:

30+x(x+3)

determiningTheFunctionDomain
x(x+3)+30

We multiply parentheses

x^2+3x+30

Back to the equation:

-(x^2+3x+30)


We get rid of parentheses

x^2-x^2-24x-3x-30=0

We add all the numbers together, and all the variables

-27x-30=0

We move all terms containing x to the left, all other terms to the right

-27x=30

x=30/-27

x=-1+1/9