Question
Simplify the expression
2x6−4x3
Evaluate
2x3(x2×x−2)
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
2x3(x3−2)
Apply the distributive property
2x3×x3−2x3×2
Multiply the terms
More Steps

Evaluate
x3×x3
Use the product rule an×am=an+m to simplify the expression
x3+3
Add the numbers
x6
2x6−2x3×2
Solution
2x6−4x3
Show Solution

Find the roots
x1=0,x2=32
Alternative Form
x1=0,x2≈1.259921
Evaluate
(2x3)(x2×x−2)
To find the roots of the expression,set the expression equal to 0
(2x3)(x2×x−2)=0
Multiply the terms
2x3(x2×x−2)=0
Multiply the terms
More Steps

Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
2x3(x3−2)=0
Elimination the left coefficient
x3(x3−2)=0
Separate the equation into 2 possible cases
x3=0x3−2=0
The only way a power can be 0 is when the base equals 0
x=0x3−2=0
Solve the equation
More Steps

Evaluate
x3−2=0
Move the constant to the right-hand side and change its sign
x3=0+2
Removing 0 doesn't change the value,so remove it from the expression
x3=2
Take the 3-th root on both sides of the equation
3x3=32
Calculate
x=32
x=0x=32
Solution
x1=0,x2=32
Alternative Form
x1=0,x2≈1.259921
Show Solution
