Factor n out of 7n2+8n.
Factor n out of 7n2.
Factor n out of 8n.
Factor n out of n(7n)+n⋅8.
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
Set the first factor equal to 0.
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
Subtract 8 from both sides of the equation.
Divide each term by 7 and simplify.
Divide each term in 7n=-8 by 7.
Cancel the common factor of 7.
Cancel the common factor.
Divide n by 1.
Move the negative in front of the fraction.
The final solution is all the values that make n(7n+8)=0 true.
The result can be shown in multiple forms.
Mixed Number Form:
Solve for n 7n^2+8n=0