7n2+8n=0

Factor n out of 7n2.

n(7n)+8n=0

Factor n out of 8n.

n(7n)+n⋅8=0

Factor n out of n(7n)+n⋅8.

n(7n+8)=0

n(7n+8)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

n=0

7n+8=0

Set the first factor equal to 0.

n=0

Set the next factor equal to 0.

7n+8=0

Subtract 8 from both sides of the equation.

7n=-8

Divide each term by 7 and simplify.

Divide each term in 7n=-8 by 7.

7n7=-87

Cancel the common factor of 7.

Cancel the common factor.

7n7=-87

Divide n by 1.

n=-87

n=-87

Move the negative in front of the fraction.

n=-87

n=-87

n=-87

The final solution is all the values that make n(7n+8)=0 true.

n=0,-87

The result can be shown in multiple forms.

Exact Form:

n=0,-87

Decimal Form:

n=0,-1.142857‾

Mixed Number Form:

n=0,-117

Solve for n 7n^2+8n=0