Question
Solve the equation
Solve for W
Solve for a
Solve for n
W=0W=an1
Evaluate
1×Wan×1×Wan+1×Wan=2Wan
Simplify
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Evaluate
1×Wan×1×Wan+1×Wan
Multiply the terms
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Multiply the terms
1×Wan×1×Wan
Rewrite the expression
WanWan
Multiply the terms
W2anan
Multiply the terms
W2a2n×n
Multiply the terms
W2a2n2
W2a2n2+1×Wan
Any expression multiplied by 1 remains the same
W2a2n2+Wan
W2a2n2+Wan=2Wan
Rewrite the expression
a2n2W2+anW=2anW
Move the expression to the left side
a2n2W2+anW−2anW=0
Subtract the terms
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Evaluate
anW−2anW
Collect like terms by calculating the sum or difference of their coefficients
(a−2a)nW
Subtract the terms
−anW
a2n2W2−anW=0
Factor the expression
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Evaluate
a2n2W2−anW
Rewrite the expression
anWanW−anW
Factor out anW from the expression
anW(anW−1)
anW(anW−1)=0
When the product of factors equals 0,at least one factor is 0
anW=0anW−1=0
Solve the equation for W
W=0anW−1=0
Solution
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Evaluate
anW−1=0
Move the constant to the right-hand side and change its sign
anW=0+1
Removing 0 doesn't change the value,so remove it from the expression
anW=1
Divide both sides
ananW=an1
Divide the numbers
W=an1
W=0W=an1
Show Solution
