Question
Factor the expression
w2(2−9w2)
Evaluate
2w2−9w4
Rewrite the expression
w2×2−w2×9w2
Solution
w2(2−9w2)
Show Solution

Find the roots
w1=−32,w2=0,w3=32
Alternative Form
w1≈−0.471405,w2=0,w3≈0.471405
Evaluate
2w2−9w4
To find the roots of the expression,set the expression equal to 0
2w2−9w4=0
Factor the expression
w2(2−9w2)=0
Separate the equation into 2 possible cases
w2=02−9w2=0
The only way a power can be 0 is when the base equals 0
w=02−9w2=0
Solve the equation
More Steps

Evaluate
2−9w2=0
Move the constant to the right-hand side and change its sign
−9w2=0−2
Removing 0 doesn't change the value,so remove it from the expression
−9w2=−2
Change the signs on both sides of the equation
9w2=2
Divide both sides
99w2=92
Divide the numbers
w2=92
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±92
Simplify the expression
More Steps

Evaluate
92
To take a root of a fraction,take the root of the numerator and denominator separately
92
Simplify the radical expression
32
w=±32
Separate the equation into 2 possible cases
w=32w=−32
w=0w=32w=−32
Solution
w1=−32,w2=0,w3=32
Alternative Form
w1≈−0.471405,w2=0,w3≈0.471405
Show Solution
