Raise to the power of .

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 .

Multiply by .

Multiply by .

Multiply by .

Add and .

Since is on the right side of the equation, switch the sides so it is on the left side of the equation.

Subtract from both sides of the equation.

Combine the opposite terms in .

Subtract from .

Add and .

Subtract from both sides of the equation.

Subtract from .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Solve for x 7^2+x^2=(x+1)^2