Question
Simplify the expression
6x5−x
Evaluate
6x3×x2−x
Solution
More Steps

Evaluate
6x3×x2
Multiply the terms with the same base by adding their exponents
6x3+2
Add the numbers
6x5
6x5−x
Show Solution

Factor the expression
x(6x4−1)
Evaluate
6x3×x2−x
Multiply
More Steps

Evaluate
6x3×x2
Multiply the terms with the same base by adding their exponents
6x3+2
Add the numbers
6x5
6x5−x
Rewrite the expression
x×6x4−x
Solution
x(6x4−1)
Show Solution

Find the roots
x1=−64216,x2=0,x3=64216
Alternative Form
x1≈−0.638943,x2=0,x3≈0.638943
Evaluate
6x3×x2−x
To find the roots of the expression,set the expression equal to 0
6x3×x2−x=0
Multiply
More Steps

Multiply the terms
6x3×x2
Multiply the terms with the same base by adding their exponents
6x3+2
Add the numbers
6x5
6x5−x=0
Factor the expression
x(6x4−1)=0
Separate the equation into 2 possible cases
x=06x4−1=0
Solve the equation
More Steps

Evaluate
6x4−1=0
Move the constant to the right-hand side and change its sign
6x4=0+1
Removing 0 doesn't change the value,so remove it from the expression
6x4=1
Divide both sides
66x4=61
Divide the numbers
x4=61
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±461
Simplify the expression
More Steps

Evaluate
461
To take a root of a fraction,take the root of the numerator and denominator separately
4641
Simplify the radical expression
461
Multiply by the Conjugate
46×463463
Simplify
46×4634216
Multiply the numbers
64216
x=±64216
Separate the equation into 2 possible cases
x=64216x=−64216
x=0x=64216x=−64216
Solution
x1=−64216,x2=0,x3=64216
Alternative Form
x1≈−0.638943,x2=0,x3≈0.638943
Show Solution
