Question
Solve the equation
n=8
Evaluate
180×nn−2=135
Find the domain
180×nn−2=135,n=0
Multiply the terms
n180(n−2)=135
Cross multiply
180(n−2)=n×135
Simplify the equation
180(n−2)=135n
Rewrite the expression
45×4(n−2)=45×3n
Evaluate
4(n−2)=3n
Expand the expression
More Steps

Evaluate
4(n−2)
Apply the distributive property
4n−4×2
Multiply the numbers
4n−8
4n−8=3n
Move the variable to the left side
4n−8−3n=0
Subtract the terms
More Steps

Evaluate
4n−3n
Collect like terms by calculating the sum or difference of their coefficients
(4−3)n
Subtract the numbers
n
n−8=0
Move the constant to the right side
n=0+8
Removing 0 doesn't change the value,so remove it from the expression
n=8
Check if the solution is in the defined range
n=8,n=0
Solution
n=8
Show Solution
