# Solve for n 7n^2+8n=0 7n2+8n=0
Factor n out of 7n2+8n.
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 and solve.
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

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