Question
Simplify the expression
8x5−x
Evaluate
2x3×4x2−x
Solution
More Steps

Evaluate
2x3×4x2
Multiply the terms
8x3×x2
Multiply the terms with the same base by adding their exponents
8x3+2
Add the numbers
8x5
8x5−x
Show Solution

Factor the expression
x(8x4−1)
Evaluate
2x3×4x2−x
Multiply
More Steps

Evaluate
2x3×4x2
Multiply the terms
8x3×x2
Multiply the terms with the same base by adding their exponents
8x3+2
Add the numbers
8x5
8x5−x
Rewrite the expression
x×8x4−x
Solution
x(8x4−1)
Show Solution

Find the roots
x1=−242,x2=0,x3=242
Alternative Form
x1≈−0.594604,x2=0,x3≈0.594604
Evaluate
2x3×4x2−x
To find the roots of the expression,set the expression equal to 0
2x3×4x2−x=0
Multiply
More Steps

Multiply the terms
2x3×4x2
Multiply the terms
8x3×x2
Multiply the terms with the same base by adding their exponents
8x3+2
Add the numbers
8x5
8x5−x=0
Factor the expression
x(8x4−1)=0
Separate the equation into 2 possible cases
x=08x4−1=0
Solve the equation
More Steps

Evaluate
8x4−1=0
Move the constant to the right-hand side and change its sign
8x4=0+1
Removing 0 doesn't change the value,so remove it from the expression
8x4=1
Divide both sides
88x4=81
Divide the numbers
x4=81
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±481
Simplify the expression
More Steps

Evaluate
481
To take a root of a fraction,take the root of the numerator and denominator separately
4841
Simplify the radical expression
481
Multiply by the Conjugate
48×483483
Simplify
48×4832242
Multiply the numbers
232242
Reduce the fraction
242
x=±242
Separate the equation into 2 possible cases
x=242x=−242
x=0x=242x=−242
Solution
x1=−242,x2=0,x3=242
Alternative Form
x1≈−0.594604,x2=0,x3≈0.594604
Show Solution
