x(x-1)=x(1+x)+10

Solution for x(x-1)=x(1+x)+10 equation:

x(x-1)=x(1+x)+10

We move all terms to the left:

x(x-1)-(x(1+x)+10)=0

We add all the numbers together, and all the variables

x(x-1)-(x(x+1)+10)=0

We multiply parentheses

x^2-1x-(x(x+1)+10)=0


We calculate terms in parentheses: -(x(x+1)+10), so:

x(x+1)+10

We multiply parentheses

x^2+x+10

Back to the equation:

-(x^2+x+10)


We get rid of parentheses

x^2-x^2-1x-x-10=0

We add all the numbers together, and all the variables

-2x-10=0

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

-2x=10

x=10/-2

x=-5