Question
Simplify the expression
x4−50x7
Evaluate
x4−5x3×10x4
Solution
More Steps

Evaluate
5x3×10x4
Multiply the terms
50x3×x4
Multiply the terms with the same base by adding their exponents
50x3+4
Add the numbers
50x7
x4−50x7
Show Solution

Factor the expression
x4(1−50x3)
Evaluate
x4−5x3×10x4
Multiply
More Steps

Evaluate
5x3×10x4
Multiply the terms
50x3×x4
Multiply the terms with the same base by adding their exponents
50x3+4
Add the numbers
50x7
x4−50x7
Rewrite the expression
x4−x4×50x3
Solution
x4(1−50x3)
Show Solution

Find the roots
x1=0,x2=10320
Alternative Form
x1=0,x2≈0.271442
Evaluate
x4−5x3×10x4
To find the roots of the expression,set the expression equal to 0
x4−5x3×10x4=0
Multiply
More Steps

Multiply the terms
5x3×10x4
Multiply the terms
50x3×x4
Multiply the terms with the same base by adding their exponents
50x3+4
Add the numbers
50x7
x4−50x7=0
Factor the expression
x4(1−50x3)=0
Separate the equation into 2 possible cases
x4=01−50x3=0
The only way a power can be 0 is when the base equals 0
x=01−50x3=0
Solve the equation
More Steps

Evaluate
1−50x3=0
Move the constant to the right-hand side and change its sign
−50x3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−50x3=−1
Change the signs on both sides of the equation
50x3=1
Divide both sides
5050x3=501
Divide the numbers
x3=501
Take the 3-th root on both sides of the equation
3x3=3501
Calculate
x=3501
Simplify the root
More Steps

Evaluate
3501
To take a root of a fraction,take the root of the numerator and denominator separately
35031
Simplify the radical expression
3501
Multiply by the Conjugate
350×35023502
Simplify
350×35025320
Multiply the numbers
505320
Cancel out the common factor 5
10320
x=10320
x=0x=10320
Solution
x1=0,x2=10320
Alternative Form
x1=0,x2≈0.271442
Show Solution
