Apply the distributive property.

Multiply by .

Subtract from both sides of the equation.

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

Use the quadratic formula to find the solutions.

Substitute the values , , and into the quadratic formula and solve for .

Simplify the numerator.

Apply the distributive property.

Multiply by .

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 .

Rewrite as .

Rewrite as .

Multiply by .

Subtract from .

Multiply by .

Multiply by .

Add and .

Factor using the perfect square rule.

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 .

Pull terms out from under the radical, assuming positive real numbers.

Multiply by .

The final answer is the combination of both solutions.

Solve for f f(f+g)=f+g