Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x−72x4
Evaluate
x(2−12x3×6)
Multiply the terms
x(2−72x3)
Apply the distributive property
x×2−x×72x3
Use the commutative property to reorder the terms
2x−x×72x3
Solution
More Steps
Evaluate
x×72x3
Use the commutative property to reorder the terms
72x×x3
Multiply the terms
More Steps
Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
72x4
2x−72x4
Show Solution
Factor the expression
2x(1−36x3)
Evaluate
x(2−12x3×6)
Multiply the terms
x(2−72x3)
Factor the expression
x×2(1−36x3)
Solution
2x(1−36x3)
Show Solution
Find the roots
x1=0,x2=636
Alternative Form
x1=0,x2≈0.302853
Evaluate
x(2−12x3×6)
To find the roots of the expression,set the expression equal to 0
x(2−12x3×6)=0
Multiply the terms
x(2−72x3)=0
Separate the equation into 2 possible cases
x=02−72x3=0
Solve the equation
More Steps
Evaluate
2−72x3=0
Move the constant to the right-hand side and change its sign
−72x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−72x3=−2
Change the signs on both sides of the equation
72x3=2
Divide both sides
7272x3=722
Divide the numbers
x3=722
Cancel out the common factor 2
x3=361
Take the 3-th root on both sides of the equation
3x3=3361
Calculate
x=3361
Simplify the root
More Steps
Evaluate
3361
To take a root of a fraction,take the root of the numerator and denominator separately
33631
Simplify the radical expression
3361
Multiply by the Conjugate
336×33623362
Simplify
336×3362636
Multiply the numbers
62636
Reduce the fraction
636
x=636
x=0x=636
Solution
x1=0,x2=636
Alternative Form
x1=0,x2≈0.302853
Show Solution