Question
Solve the equation
Solve for a
Solve for n
a=0
Evaluate
∣a∣=n∣2a∣
Simplify
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Evaluate
n∣2a∣
Calculate the absolute value
n×2∣a∣
Use the commutative property to reorder the terms
2n∣a∣
∣a∣=2n∣a∣
Move the expression to the left side
∣a∣−2n∣a∣=0
Separate the equation into 2 possible cases
a−2na=0,a≥0−a−2n(−a)=0,a<0
Solve the equation
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Evaluate
a−2na=0
Collect like terms by calculating the sum or difference of their coefficients
(1−2n)a=0
Rewrite the expression
a=0
a=0,a≥0−a−2n(−a)=0,a<0
Solve the equation
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Evaluate
−a−2n(−a)=0
Calculate
−a+2na=0
Collect like terms by calculating the sum or difference of their coefficients
(−1+2n)a=0
Rewrite the expression
a=0
a=0,a≥0a=0,a<0
Find the intersection
a=0a=0,a<0
Find the intersection
a=0a∈∅
Solution
a=0
Show Solution