x(x+6)=(x+11)(x-3)

Solution for x(x+6)=(x+11)(x-3) equation:

x(x+6)=(x+11)(x-3)

We move all terms to the left:

x(x+6)-((x+11)(x-3))=0

We multiply parentheses

x^2+6x-((x+11)(x-3))=0

We multiply parentheses ..

x^2-((+x^2-3x+11x-33))+6x=0


We calculate terms in parentheses: -((+x^2-3x+11x-33)), so:

(+x^2-3x+11x-33)

We get rid of parentheses

x^2-3x+11x-33

We add all the numbers together, and all the variables

x^2+8x-33

Back to the equation:

-(x^2+8x-33)


We add all the numbers together, and all the variables

x^2+6x-(x^2+8x-33)=0

We get rid of parentheses

x^2-x^2+6x-8x+33=0

We add all the numbers together, and all the variables

-2x+33=0

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

-2x=-33

x=-33/-2

x=16+1/2