Move to the left side of the equation by subtracting it from both sides.

Simplify .

Simplify each term.

Apply the distributive property.

Multiply by .

Subtract from .

Rewrite as .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Add and .

Apply the distributive property.

Simplify.

Rewrite using the commutative property of multiplication.

Move to the left of .

Replace the left side with the factored expression.

Add to both sides of the equation.

Add to both sides of the equation.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Check the middle term by multiplying and compare this result with the middle term in the original expression.

Simplify.

Factor using the perfect square trinomial rule , where and .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Solve for s s(S+9)^2-17(S+9)=9