Question
Simplify the expression
2x4−x3
Evaluate
(2x−1)x3
Multiply the terms
x3(2x−1)
Apply the distributive property
x3×2x−x3×1
Multiply the terms
More Steps

Evaluate
x3×2x
Use the commutative property to reorder the terms
2x3×x
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
2x4
2x4−x3×1
Solution
2x4−x3
Show Solution

Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
(2x−1)(x3)
To find the roots of the expression,set the expression equal to 0
(2x−1)(x3)=0
Calculate
(2x−1)x3=0
Multiply the terms
x3(2x−1)=0
Separate the equation into 2 possible cases
x3=02x−1=0
The only way a power can be 0 is when the base equals 0
x=02x−1=0
Solve the equation
More Steps

Evaluate
2x−1=0
Move the constant to the right-hand side and change its sign
2x=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x=1
Divide both sides
22x=21
Divide the numbers
x=21
x=0x=21
Solution
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Show Solution
