Question
Factor the expression
w(81−25w)
Evaluate
81w−25w2
Rewrite the expression
w×81−w×25w
Solution
w(81−25w)
Show Solution

Find the roots
w1=0,w2=2581
Alternative Form
w1=0,w2=3.24
Evaluate
81w−25w2
To find the roots of the expression,set the expression equal to 0
81w−25w2=0
Factor the expression
More Steps

Evaluate
81w−25w2
Rewrite the expression
w×81−w×25w
Factor out w from the expression
w(81−25w)
w(81−25w)=0
When the product of factors equals 0,at least one factor is 0
w=081−25w=0
Solve the equation for w
More Steps

Evaluate
81−25w=0
Move the constant to the right-hand side and change its sign
−25w=0−81
Removing 0 doesn't change the value,so remove it from the expression
−25w=−81
Change the signs on both sides of the equation
25w=81
Divide both sides
2525w=2581
Divide the numbers
w=2581
w=0w=2581
Solution
w1=0,w2=2581
Alternative Form
w1=0,w2=3.24
Show Solution
