Factor out of .

Factor out of .

Factor out of .

Divide each term in by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Apply the distributive property.

Simplify the expression.

Multiply by .

Move to the left of .

Divide by .

Factor out of .

Factor out of .

Factor out of .

If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .

Set the first factor equal to .

Set the next factor equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

Solve for n 10n^2+40n=0