Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5n5−n3−5n2
Evaluate
n4×5n−n3−5n2
Solution
More Steps
Evaluate
n4×5n
Multiply the terms with the same base by adding their exponents
n4+1×5
Add the numbers
n5×5
Use the commutative property to reorder the terms
5n5
5n5−n3−5n2
Show Solution
Factor the expression
n2(5n3−n−5)
Evaluate
n4×5n−n3−5n2
Multiply
More Steps
Evaluate
n4×5n
Multiply the terms with the same base by adding their exponents
n4+1×5
Add the numbers
n5×5
Use the commutative property to reorder the terms
5n5
5n5−n3−5n2
Rewrite the expression
n2×5n3−n2×n−n2×5
Solution
n2(5n3−n−5)
Show Solution
Find the roots
n1=0,n2≈1.066574
Evaluate
n4×5n−n3−5n2
To find the roots of the expression,set the expression equal to 0
n4×5n−n3−5n2=0
Multiply
More Steps
Multiply the terms
n4×5n
Multiply the terms with the same base by adding their exponents
n4+1×5
Add the numbers
n5×5
Use the commutative property to reorder the terms
5n5
5n5−n3−5n2=0
Factor the expression
n2(5n3−n−5)=0
Separate the equation into 2 possible cases
n2=05n3−n−5=0
The only way a power can be 0 is when the base equals 0
n=05n3−n−5=0
Solve the equation
n=0n≈1.066574
Solution
n1=0,n2≈1.066574
Show Solution