Question
Solve the equation
n=0
Evaluate
2n6×8n=5n−28n
Multiply
More Steps

Evaluate
2n6×8n
Multiply the terms
16n6×n
Multiply the terms with the same base by adding their exponents
16n6+1
Add the numbers
16n7
16n7=5n−28n
Subtract the terms
More Steps

Evaluate
5n−28n
Collect like terms by calculating the sum or difference of their coefficients
(5−28)n
Subtract the numbers
−23n
16n7=−23n
Add or subtract both sides
16n7−(−23n)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
16n7+23n=0
Factor the expression
n(16n6+23)=0
Separate the equation into 2 possible cases
n=016n6+23=0
Solve the equation
More Steps

Evaluate
16n6+23=0
Move the constant to the right-hand side and change its sign
16n6=0−23
Removing 0 doesn't change the value,so remove it from the expression
16n6=−23
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of n
n∈/R
n=0n∈/R
Solution
n=0
Show Solution
