# Solve for n ((n-2)*180)/n=72 (n-2)⋅180n=72
Factor each term.
Move 180 to the left of n-2.
180⋅(n-2)n=72
Multiply 180 by n-2.
180(n-2)n=72
180(n-2)n=72
Solve for n.
Multiply each term by n and simplify.
Multiply each term in 180(n-2)n=72 by n.
180(n-2)n⋅n=72⋅n
Simplify 180(n-2)n⋅n.
Cancel the common factor of n.
Cancel the common factor.
180(n-2)n⋅n=72⋅n
Rewrite the expression.
180(n-2)=72⋅n
180(n-2)=72⋅n
Apply the distributive property.
180n+180⋅-2=72⋅n
Multiply 180 by -2.
180n-360=72⋅n
180n-360=72n
180n-360=72n
Move all terms containing n to the left side of the equation.
Subtract 72n from both sides of the equation.
180n-360-72n=0
Subtract 72n from 180n.
108n-360=0
108n-360=0
Add 360 to both sides of the equation.
108n=360
Divide each term by 108 and simplify.
Divide each term in 108n=360 by 108.
108n108=360108
Cancel the common factor of 108.
Cancel the common factor.
108n108=360108
Divide n by 1.
n=360108
n=360108
Cancel the common factor of 360 and 108.
Factor 36 out of 360.
n=36(10)108
Cancel the common factors.
Factor 36 out of 108.
n=36⋅1036⋅3
Cancel the common factor.
n=36⋅1036⋅3
Rewrite the expression.
n=103
n=103
n=103
n=103
n=103
The result can be shown in multiple forms.
Exact Form:
n=103
Decimal Form:
n=3.3‾
Mixed Number Form:
n=313
Solve for n ((n-2)*180)/n=72

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