Question
Factor the expression
x(3x5−7)
Evaluate
3x6−7x
Rewrite the expression
x×3x5−x×7
Solution
x(3x5−7)
Show Solution

Find the roots
x1=0,x2=35567
Alternative Form
x1=0,x2≈1.184664
Evaluate
3x6−(7x)
To find the roots of the expression,set the expression equal to 0
3x6−(7x)=0
Multiply the terms
3x6−7x=0
Factor the expression
x(3x5−7)=0
Separate the equation into 2 possible cases
x=03x5−7=0
Solve the equation
More Steps

Evaluate
3x5−7=0
Move the constant to the right-hand side and change its sign
3x5=0+7
Removing 0 doesn't change the value,so remove it from the expression
3x5=7
Divide both sides
33x5=37
Divide the numbers
x5=37
Take the 5-th root on both sides of the equation
5x5=537
Calculate
x=537
Simplify the root
More Steps

Evaluate
537
To take a root of a fraction,take the root of the numerator and denominator separately
5357
Multiply by the Conjugate
53×53457×534
Simplify
53×53457×581
Multiply the numbers
53×5345567
Multiply the numbers
35567
x=35567
x=0x=35567
Solution
x1=0,x2=35567
Alternative Form
x1=0,x2≈1.184664
Show Solution
