Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
100x−6x6
Evaluate
10x×10−6x6
Solution
100x−6x6
Show Solution
Factor the expression
2x(50−3x5)
Evaluate
10x×10−6x6
Multiply the terms
100x−6x6
Rewrite the expression
2x×50−2x×3x5
Solution
2x(50−3x5)
Show Solution
Find the roots
x1=0,x2=354050
Alternative Form
x1=0,x2≈1.755374
Evaluate
10x×10−6x6
To find the roots of the expression,set the expression equal to 0
10x×10−6x6=0
Multiply the terms
100x−6x6=0
Factor the expression
2x(50−3x5)=0
Divide both sides
x(50−3x5)=0
Separate the equation into 2 possible cases
x=050−3x5=0
Solve the equation
More Steps
Evaluate
50−3x5=0
Move the constant to the right-hand side and change its sign
−3x5=0−50
Removing 0 doesn't change the value,so remove it from the expression
−3x5=−50
Change the signs on both sides of the equation
3x5=50
Divide both sides
33x5=350
Divide the numbers
x5=350
Take the 5-th root on both sides of the equation
5x5=5350
Calculate
x=5350
Simplify the root
More Steps
Evaluate
5350
To take a root of a fraction,take the root of the numerator and denominator separately
53550
Multiply by the Conjugate
53×534550×534
Simplify
53×534550×581
Multiply the numbers
53×53454050
Multiply the numbers
354050
x=354050
x=0x=354050
Solution
x1=0,x2=354050
Alternative Form
x1=0,x2≈1.755374
Show Solution